Hello I have an assignment that I'm stuck on .

A consulting firm was hired to perform a survey on people living in New York City. The survey was completed monthly for six months by 445 randomly selected people in different boroughs. There were a number of items on the survey, but six basic biographical items will be studied for this exercise. The data for the people surveyed in one of these monthly surveys can be found in the Excel file SURVEY. The variables that were used for the basic biographical data are found on the last page of the exercise.

In this exercise, some of the estimation techniques presented in the module will be applied to the New York survey results. You may assume that these respondents represent a simple random sample of all potential respondents within the community, and that the population is large enough that application of the finite population correction would not make an appreciable difference in the results.

New York City governmental agency personnel like to have point estimates regarding variables describing the biographical information of the people living within the different boroughs. It is very helpful for them to have some idea regarding the likely accuracy of these estimates as well. Therein lies the benefit of the techniques presented in this module and applied here.

1. Item A in the description of the data collection instrument lists variables 1 through 5, which represent the respondents general attitude toward each of the five boroughs. Each of these variables has numerically equal distances between the possible responses, and for purposes of analysis they may be considered to be of the interval scale of measurement.
   1. Determine the point estimate, and then construct the 95% confidence interval for ₁= the average attitude toward Manhattan.
   2. Repeat part (a) for ₂through ₅, the average attitudes toward Brooklyn, Queens, The Bronx and Staten Island, respectively.
2. Given the breakdown of responses for variable 6 (highestlevel ofeducation), determine the point estimate, then construct the 95% confidence interval for ₆= the population proportion of doctoral degrees.
3. Given the breakdown of responses for variable 7 (marital status of respondent), determine the point estimate, and then construct the 95% confidence interval for ₇= the population proportion in the single or other category.
4. Assume the governmental agencies requested estimates of the mean attitudes towards each borough with a margin of error of 0.05 for each borough. If the governmental agency personnel want to have 95% confidence that the sample mean will fall within this margin of error, how large should the sample sizes be for each borough?

Paper Requirements

Write a report that uses the Written Assignment Requirements under the heading Expectations for CSU-Global Written Assignments found in the CSU-Global Guide to Writing and APA Requirements. Items that should be included, at a minimum, are a title page, an introduction, a body that answers the questions posed in the problem, and a conclusion paragraph that addresses your findings and what you have determined from the data and your analysis. As with all written assignments, you should have in-text citations and a reference page too. Please include any tables of calculations, calculated values and graphs associated with this problem in the body of your assignment response.

NOTE: You MUST submit your Excel file with your report. This will aid in grading with partial credit if errors are found in the report.

A. General Attitude toward Each Borough (Variables 15)

	1. Manhattan	2. Brooklyn	3. Queens	4. The Bronx	5. Staten Island
Like Very Much	(5)	(5)	(5)	(5)	(5)
Like	(4)	(4)	(4)	(4)	(4)
Neutral	(3)	(3)	(3)	(3)	(3)
Dislike	(2)	(2)	(2)	(2)	(2)
Dislike Very Much	(1)	(1)	(1)	(1)	(1)

B. Information about the Respondent (Variables 67)

1. What is yourhighestlevel ofeducation?

(1) = DidnotcompleteHighschool (2) = Highschooldegree/GED (3) = Associatesdegree (4) = Bachelorsdegree (5) = Mastersdegree (6) = Doctoraldegree

Marital Status: (1) = Married (2) = Single or other

Posted Mon Feb 22, 2016 at 11:32 am

ShoppingCodingSurvey

Manhattan Brooklyn Queens The Bronx Staten Island Education Marital Status 1 2 3 2 2 2 2 2 3 4 4 3 2 2 3 2 4 2 1 2 2 3 3 2 2 2 1 4 3 2 3 2 3 1 2 4 2 2 2 3 2 2 1 1 2 1 1 2 5 2 2 2 2 2 2 1 1 2 1 2 2 3 2 3 2 1 2 4 2 3 4 2 2 2 3 4 2 2 4 2 5 2 5 5 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 2 5 5 2 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 4 2 5 5 5 5 5 5 5 5 2 4 1 3 2 1 1 4 1 1 2 4 1 2 4 1 4 2 4 2 4 3 4 3 2 4 4 4 2 1 1 1 4 3 4 4 1 3 4 1 1 1 2 4 5 4 1 5 3 4 4 4 1 1 2 4 4 2 2 3 4 2 1 4 2 2 4 3 3 3 2 4 4 2 4 2 4 4 2 1 2 3 5 2 1 1 4 3 1 1 1 1 1 1 3 2 4 1 1 1 2 3 1 1 1 3 2 3 5 1 1 3 3 3 1 5 1 1 1 1 2 1 1 2 3 5 5 1 4 5 2 1 3 1 1 1 1 4 2 2 2 1 2 2 1 2 1 2 1 2 1 2 3 5 1 4 4 3 3 2 5 5 4 5 5 2 4 3 5 5 1 4 4 5 2 3 4 1 2 5 5 5 5 3 2 4 5 5 1 3 4 5 5 5 3 5 5 2 5 5 5 5 4 2 4 5 2 5 5 4 2 3 1 5 5 1 2 3 5 5 5 5 1 3 4 1 3 5 5 4 1 5 2 5 5 3 5 5 5 3 4 5 4 4 2 5 3 4 4 6 4 3 5 5 4 2 5 2 3 2 3 4 2 4 5 4 5 4 1 5 4 4 2 5 4 4 5 5 3 5 2 5 3 5 3 5 2 5 3 4 2 4 3 4 4 4 3 3 4 4 4 4 1 2 4 2 4 2 5 5 2 5 4 3 5 2 2 3 1 4 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 1 2 2 1 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 1 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1 Education 1 2 3 4 5 6 Count Point Estimate 9 0.0202247191 81 0.1820224719 66 0.1483146067 196 0.4404494382 76 0.1707865169 17 0.0382022472 445 1 Martial Status Counts Point estimate 1 88 0.197752809 2 357 0.802247191 445 1 4 2 4 4 3 2 2 2 2 4 1 2 4 1 2 2 2 1 2 3 2 4 4 2 1 3 2 4 2 4 2 1 3 3 3 2 4 4 2 2 2 1 3 2 1 2 2 4 2 4 1 2 2 1 4 1 4 2 2 2 2 2 3 2 2 2 3 2 3 2 2 2 2 1 3 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 3 5 5 5 2 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 2 5 5 5 5 5 5 5 5 5 5 5 4 2 4 4 1 5 4 1 1 4 2 3 4 1 1 4 4 3 4 4 2 4 4 3 5 4 1 5 3 2 3 5 5 4 2 2 4 1 4 2 4 4 2 4 1 2 2 3 2 4 4 4 4 2 2 2 4 1 2 3 4 1 4 4 3 2 4 1 2 3 4 4 5 2 1 2 2 1 4 4 4 1 1 4 1 1 1 1 1 3 4 5 5 1 3 2 1 1 1 3 3 2 3 2 2 2 3 3 3 2 4 4 4 5 4 1 4 1 1 5 5 3 1 2 3 4 2 2 4 2 4 2 1 2 2 2 2 1 1 4 3 3 4 4 2 4 3 1 1 1 4 3 4 3 1 3 1 1 1 5 4 3 5 5 5 4 5 4 2 5 3 3 2 4 2 5 5 5 2 5 3 1 5 2 5 5 5 5 5 3 5 5 1 5 5 3 5 5 3 1 5 2 5 5 1 2 4 5 3 5 4 5 5 5 3 5 3 5 2 2 5 3 3 5 4 5 2 2 5 2 1 3 5 5 5 4 5 2 4 5 3 2 5 3 3 4 2 4 5 4 5 3 2 3 2 5 3 3 2 3 4 4 5 6 2 2 5 4 3 4 5 4 1 5 6 4 3 4 3 3 5 5 4 5 4 4 4 3 4 2 2 4 4 4 4 4 4 4 2 2 2 1 3 5 5 4 4 3 2 5 3 6 4 4 4 4 4 5 4 6 4 4 4 4 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 1 2 2 1 1 2 1 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 1 1 1 2 2 2 2 2 2 2 2 1 1 3 4 2 2 3 2 4 3 2 4 3 3 3 3 1 3 2 1 3 3 3 3 2 4 4 1 2 1 2 3 1 2 2 2 4 2 3 4 4 4 1 3 2 1 1 4 2 4 4 1 3 4 2 4 4 3 2 4 4 4 4 2 2 2 4 4 4 3 2 2 4 4 2 2 2 1 3 2 4 4 4 2 5 5 5 5 5 5 5 5 5 5 3 5 2 5 2 5 5 5 5 5 5 5 5 3 5 5 5 5 5 2 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 5 5 3 5 5 5 2 2 1 2 2 4 4 4 1 2 2 4 3 4 2 4 4 2 1 1 1 2 4 2 1 2 3 2 3 4 3 2 4 3 2 2 2 2 3 2 3 1 1 3 2 5 2 2 3 2 2 2 1 3 1 1 1 4 3 2 1 5 4 2 4 2 1 4 3 4 1 2 2 4 1 2 2 1 4 2 1 2 3 3 1 4 1 2 1 4 2 4 3 2 4 3 3 1 1 1 1 1 4 3 1 1 5 5 2 3 3 4 3 5 2 1 3 1 1 5 2 3 2 2 3 3 4 2 3 2 3 4 3 1 2 3 2 2 5 1 4 2 1 4 2 1 1 1 1 3 5 1 1 4 4 1 3 5 1 4 1 3 1 5 5 2 1 5 5 4 5 1 3 4 3 5 5 3 2 1 5 5 4 1 5 1 4 2 5 5 4 3 4 1 5 3 5 5 3 5 5 1 5 5 4 5 4 4 1 2 5 3 5 5 5 1 3 1 5 2 2 2 5 5 5 5 3 5 5 2 5 5 5 5 5 5 5 2 5 1 5 3 4 4 2 5 5 5 2 4 5 4 3 6 2 4 4 4 2 4 3 4 4 5 4 2 2 2 5 3 2 5 4 4 3 4 2 2 5 5 2 2 4 4 4 2 2 3 2 4 4 4 2 4 4 4 4 1 2 4 5 4 4 3 4 4 4 4 3 4 4 4 2 2 4 2 2 4 5 4 4 4 5 3 4 2 2 2 2 2 2 2 1 2 2 1 1 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 1 1 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 2 3 4 2 3 2 2 1 4 2 2 1 4 3 4 4 2 2 4 2 4 4 1 2 4 1 3 3 4 1 4 4 2 1 4 3 2 4 3 4 3 2 2 2 3 4 2 3 2 4 3 2 2 4 4 4 2 2 2 3 4 4 2 2 4 2 4 2 4 3 2 4 2 4 4 3 2 4 2 2 4 5 5 5 5 5 5 5 5 4 5 5 5 5 2 5 5 5 5 3 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 2 5 5 5 2 5 3 5 5 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 2 5 5 5 5 5 5 1 1 2 1 4 2 2 4 2 4 4 4 3 2 1 4 1 2 2 2 2 1 4 4 2 1 4 3 2 4 1 2 3 5 4 4 2 5 2 2 4 1 4 1 2 2 4 1 4 3 2 2 2 3 1 3 4 4 1 2 4 3 2 1 1 4 2 4 1 2 1 4 4 1 1 2 4 2 2 4 4 1 4 3 1 3 3 2 1 2 1 5 2 2 2 1 1 4 2 1 2 4 1 4 5 4 3 2 3 3 5 5 4 1 2 4 2 1 2 2 2 3 3 5 3 4 3 1 1 2 3 1 1 1 2 1 3 1 1 1 1 5 1 1 5 3 1 1 1 3 5 1 2 4 3 3 2 1 3 3 3 1 5 3 4 5 4 5 5 5 5 5 5 3 2 4 4 5 5 1 5 5 5 4 3 3 5 5 5 5 4 2 2 5 5 3 1 3 2 5 2 1 5 5 3 3 5 4 2 3 3 5 5 3 2 4 1 5 3 1 2 4 5 5 1 5 5 4 4 5 3 3 5 3 5 5 3 5 2 4 5 4 5 2 5 4 4 4 3 5 4 3 5 4 3 4 4 5 4 4 4 2 3 4 5 4 4 3 4 4 2 3 4 3 4 4 5 5 4 4 4 2 5 5 4 2 3 4 5 3 4 2 4 5 4 4 2 4 6 4 5 3 2 5 5 5 4 4 3 2 4 3 4 4 5 2 4 2 4 4 5 5 6 4 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 1 2 2 1 1 2 1 1 1 2 2 2 2 2 2 5 2 2 2 4 4 2 3 4 2 2 3 4 4 2 4 2 2 2 2 3 3 4 2 2 3 4 2 4 4 2 3 2 2 4 4 3 4 3 3 2 2 4 3 2 4 2 2 2 2 3 2 4 4 2 2 2 2 1 4 1 3 4 4 3 3 3 1 2 4 2 4 2 2 2 2 2 4 4 5 3 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 5 5 5 2 5 3 2 5 5 5 5 5 5 5 5 5 5 5 5 4 5 3 2 5 3 5 5 5 4 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 2 5 5 5 4 2 4 1 4 4 1 2 1 2 4 1 4 1 2 4 1 2 4 2 4 2 2 2 2 2 1 4 3 1 2 2 1 4 1 4 1 1 2 3 1 3 4 1 1 5 2 4 4 1 2 1 2 2 2 2 1 2 2 2 1 2 2 1 4 3 2 3 2 1 4 2 2 1 3 4 2 4 4 2 3 1 1 1 1 1 4 1 3 1 1 1 1 1 1 3 1 2 3 2 3 2 1 2 4 4 1 3 4 1 3 1 4 1 1 1 3 2 4 1 2 2 5 5 4 1 2 3 3 4 1 3 1 4 1 2 1 1 3 3 2 1 1 2 3 4 1 3 2 1 2 5 5 3 1 1 3 3 3 4 1 1 4 5 3 5 5 3 5 3 2 5 5 5 5 5 3 5 5 5 4 5 4 5 5 5 4 1 4 5 5 5 5 5 5 5 5 5 5 5 5 3 4 5 5 3 5 5 3 2 2 5 5 2 5 5 5 5 5 5 4 5 5 3 4 4 4 5 5 3 1 5 4 5 5 4 1 5 5 5 5 4 5 4 2 4 4 4 4 4 2 2 4 4 5 6 4 5 4 5 3 1 3 3 4 4 3 3 6 4 2 5 4 2 3 5 5 4 4 2 2 4 4 2 2 3 4 3 3 2 3 2 2 2 6 4 2 4 1 6 6 4 4 4 4 4 4 4 4 2 3 3 4 4 4 4 5 2 4 2 4 3 4 6 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 1 2 2 2 2 2 1 2 1 2 2 2 2 2 1 2 2 2 2 1 2 1 2 2 2 2 2 1 1 1 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 1 2 2 4 4 2 4 4 2 2 4 2 3 4 2 3 4 2 4 3 2 2 2 3 4 2 2 3 2 2 3 2 2 4 2 3 2 3 2 3 4 3 3 3 5 5 5 5 5 5 5 3 5 5 5 5 2 2 5 2 2 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 2 2 1 2 2 1 4 1 4 3 2 1 2 4 4 1 1 2 4 2 3 3 2 1 4 5 3 1 2 4 1 1 2 2 1 2 5 4 3 3 3 1 1 2 1 1 1 4 3 4 1 1 1 4 2 1 3 1 1 3 3 2 1 2 1 1 3 2 1 2 4 4 4 5 3 1 5 5 4 5 3 5 5 5 4 5 5 5 4 4 5 5 2 3 5 4 5 5 5 2 5 2 5 5 5 1 5 5 5 5 5 5 4 4 5 5 5 5 4 3 4 4 4 5 5 4 4 4 4 2 5 2 4 4 4 3 2 4 3 4 6 5 4 3 4 4 4 4 5 6 2 6 4 4 1 3 2 4 4 1 1 1 2 2 1 1 2 1 2 1 2 2 2 2 2 1 2 2 1 2 2 2 2 2 1 1 1 2 2 2 2 2 1 2 2 1 1 1 1 2 Manhattan 445 Count Mean Sample Variance Sample Standard Variance Standard Error of the mean Confidence Interval 95% lower Confidence Interval 95% upper Brooklyn Count Mean Sample Variance Sample Standard Deviation Standard Error of the mean Confidence interval 95% lower Confidence interval 95% upper Half width Queens 445 Count Mean Sample Variance Sample Standard Deviation Standard Error of the mean Confidence interval 95% lower Confidence interval 95% upper Half width The Bronx 445 Count Mean Sample Variance Sample Standard Deviation Standard Error of the mean Confidence interval 95% lower Confidence interval 95% upper half width Staten Island 445 Count mean Sample Variance Sample Standard deviation Standard Error of the mean Confidence interval 95% lower Confdence interval 95% upper Half width Sample size mean 0.05 E,error tolerance Standard deviation 95% Confidence level z sample size rounded up Sample size mean 0.05 E,error tolerance Standard deviation 95% Confidence level z sample size rounded up Sample size mean 0.05 E,error tolerance Standard deviation 95% Confidence level z sample size rounded up Sample size mean 0.05 E,error tolerance Standard deviation 95% Confidence level z sample size rounded up Sample size mean 0.05 E,error tolerance Standard deviation 95% Confidence level z sample size rounded up Descriptive statistics count mean sample variance sample standard deviation Manhattan 445 2.67 1.13 1.06 standard error of the mean 0.05 confidence interval 95.% lower confidence interval 95.% upper half-width 2.57 2.77 0.10 Descriptive statistics count mean sample variance sample standard deviation Brooklyn 445 4.53 1.09 1.04 standard error of the mean 0.05 confidence interval 95.% lower confidence interval 95.% upper half-width 4.43 4.63 0.10 Descriptive statistics count mean sample variance sample standard deviation Queens 445 2.47 1.45 1.20 standard error of the mean 0.06 confidence interval 95.% lower confidence interval 95.% upper half-width 2.35 2.58 0.11 Descriptive statistics count mean sample variance sample standard deviation The Bronx 445 2.33 1.88 1.37 standard error of the mean 0.07 confidence interval 95.% lower confidence interval 95.% upper half-width 2.21 2.46 0.13 Descriptive statistics count mean sample variance sample standard deviation Staten Island 445 4.09 1.50 1.22 standard error of the mean 0.06 confidence interval 95.% lower confidence interval 95.% upper half-width 3.98 4.21 0.11 Confidence interval - proportion 95% confidence level 0.038202247 proportion 445 n 1.960 z 0.018 half-width 0.056 upper confidence limit 0.020 lower confidence limit Confidence interval - proportion 95% confidence level 0.748314607 proportion 445 n 1.960 z 0.040 half-width 0.789 upper confidence limit 0.708 lower confidence limit Sample size - mean 0.05 E, error tolerance 1.0637775303 standard deviation 95% confidence level 1.960 z 1738.833 sample size 1739 rounded up Sample size - mean 0.05 E, error tolerance 1.0449799014 standard deviation 95% confidence level 1.960 z 1677.923 sample size 1678 rounded up Sample size - mean 0.05 E, error tolerance 1.2031397667 standard deviation 95% confidence level 1.960 z 2224.274 sample size 2225 rounded up Sample size - mean 0.05 E, error tolerance 1.3714512866 standard deviation 95% confidence level 1.960 z 2890.127 sample size 2891 rounded up Sample size - mean 0.05 E, error tolerance 1.2229376416 standard deviation 95% confidence level 1.960 z 2298.078 sample size 2299 rounded up Manhattan Brooklyn Queens The Bronx Staten Island Education Marital Status 3 3 4 4 4 3 4 4 4 2 4 4 4 3 2 1 2 4 2 3 4 1 4 3 2 4 2 3 4 4 4 4 2 3 4 4 1 2 4 2 2 2 4 2 1 2 3 2 2 4 2 2 2 2 3 4 1 2 2 2 4 2 1 4 2 2 2 4 4 2 4 3 4 4 3 4 2 4 2 4 5 5 5 5 5 2 4 4 5 5 5 3 2 2 5 5 5 3 5 2 5 5 2 5 5 5 5 2 5 5 5 1 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 2 3 5 5 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 2 3 4 4 1 1 2 2 2 2 5 2 2 2 3 4 5 1 2 2 4 2 4 4 1 1 4 4 1 1 1 3 2 1 2 2 1 4 1 3 5 4 4 4 4 1 2 1 1 2 4 4 4 2 1 4 1 2 3 1 4 5 3 1 4 3 2 2 1 2 2 4 4 3 4 3 4 4 1 3 2 4 4 1 3 4 1 1 3 3 2 1 5 1 1 4 1 4 5 4 2 4 1 1 2 3 1 2 3 1 4 1 4 1 1 1 1 3 5 5 1 4 5 3 1 1 5 1 1 3 1 4 4 1 5 2 1 2 1 1 4 5 2 2 2 1 4 4 2 3 3 5 4 3 3 1 1 3 1 5 5 4 3 4 5 5 5 3 5 5 5 5 5 5 3 5 2 5 5 5 1 4 5 4 4 5 5 3 5 2 4 4 4 5 4 5 1 5 5 3 5 5 5 3 5 3 5 5 5 5 4 5 4 5 4 4 5 2 4 5 5 5 3 1 5 2 4 4 3 5 3 5 5 5 5 5 2 5 5 2 4 3 3 4 5 3 2 2 3 4 3 2 4 4 4 3 4 4 4 4 4 2 5 2 4 4 3 2 2 5 2 5 6 2 5 5 3 3 4 2 5 5 3 2 2 4 2 4 5 6 2 4 5 4 4 4 2 1 5 2 3 2 4 4 5 2 4 5 4 4 5 3 2 5 4 4 2 3 4 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 1 2 2 2 1 2 2 2 2 1 2 1 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2 Education 1 2 3 4 5 6 count Point estimate 7 0.0157303371 117 0.2629213483 84 0.1887640449 148 0.3325842697 72 0.1617977528 17 0.0382022472 445 Marital Status 1 2 counts Point estimate 112 0.2516853933 333 0.7483146067 445 2 2 4 3 3 1 3 2 1 3 3 4 2 4 2 4 2 3 3 1 4 4 2 4 4 2 2 4 4 2 4 4 2 3 3 3 2 4 4 4 2 2 4 1 4 1 3 2 2 1 4 1 4 4 2 3 3 2 2 3 2 2 3 2 2 1 2 3 1 1 4 2 3 4 2 2 2 4 4 3 2 5 5 5 5 5 5 5 5 5 3 3 5 5 3 2 5 5 3 3 2 5 5 5 5 2 5 5 5 2 5 5 5 5 5 5 3 5 5 5 4 5 5 5 5 5 5 3 5 5 5 1 5 5 3 5 5 5 5 5 5 5 5 5 5 5 1 5 3 5 5 2 5 5 3 5 5 5 3 5 5 5 1 4 2 4 3 4 2 3 1 2 1 1 3 3 3 3 2 4 1 3 2 4 1 2 3 4 2 3 4 1 1 1 2 2 2 2 4 2 2 2 4 3 5 4 2 2 1 2 4 2 1 2 4 3 3 2 1 2 4 1 2 1 1 4 4 2 2 1 3 4 3 4 2 1 2 2 2 2 3 2 1 1 3 1 1 1 1 1 5 1 2 1 3 2 4 1 3 4 1 1 1 3 3 1 3 3 2 4 1 1 1 3 3 1 1 2 1 2 4 3 1 4 4 3 3 5 3 2 3 2 1 5 3 3 2 3 3 4 5 3 1 1 2 2 5 4 3 4 2 2 1 3 1 4 3 1 1 1 3 1 1 1 5 3 5 4 5 5 4 5 5 4 5 5 5 4 5 5 5 5 5 5 3 3 1 5 4 5 5 2 5 5 3 1 3 5 1 3 5 4 5 5 5 5 5 3 5 5 5 5 5 4 5 5 4 3 5 4 2 5 5 3 2 5 4 5 3 1 4 5 5 5 3 5 1 5 1 4 4 5 5 3 5 6 3 2 3 6 5 4 4 3 2 2 2 4 2 4 2 4 3 3 5 4 3 2 2 4 2 2 5 4 2 4 3 4 3 5 2 2 4 4 1 3 4 3 3 2 2 4 2 5 5 3 4 5 2 5 4 2 2 3 4 4 3 4 5 4 4 2 5 4 4 2 2 2 4 4 4 4 2 4 2 2 2 1 1 1 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 1 1 2 1 2 2 2 1 2 2 2 2 1 1 1 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 1 1 2 2 1 1 2 1 2 2 1 2 1 2 2 2 4 3 2 2 2 4 2 4 2 1 4 4 4 4 4 2 2 2 2 2 4 2 2 4 2 2 1 3 4 1 1 2 3 1 4 2 4 3 1 3 2 3 3 1 2 2 3 3 1 1 2 4 4 2 3 2 2 2 4 4 4 1 1 1 2 2 2 2 4 4 4 3 2 3 2 1 3 3 2 2 2 2 3 5 5 5 2 2 5 5 5 1 2 2 5 2 5 5 5 5 5 5 2 5 5 5 5 5 3 5 2 5 5 5 3 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 2 5 5 5 5 5 5 2 1 2 4 3 4 1 2 2 4 1 2 2 4 2 2 1 1 4 1 4 2 4 1 4 1 2 1 2 2 4 4 4 2 1 1 1 1 1 4 2 5 2 3 1 4 4 2 4 3 2 4 4 1 2 2 4 4 4 4 1 2 2 3 2 2 1 1 4 2 4 1 2 4 5 2 2 1 1 4 3 4 1 1 4 1 1 2 4 2 1 2 3 4 3 1 1 3 5 5 1 5 2 4 3 1 3 2 4 3 1 5 5 3 3 1 1 2 1 4 3 1 1 5 5 3 1 1 2 5 3 2 5 3 1 3 3 4 1 3 1 3 1 3 5 1 3 1 5 3 1 3 3 1 1 1 3 1 3 1 3 1 5 5 5 5 4 5 1 3 3 4 3 5 3 4 2 5 5 4 2 5 5 5 5 5 2 4 2 5 3 5 5 3 1 1 4 5 5 5 5 5 3 4 3 5 1 5 5 2 5 5 4 5 1 5 2 5 5 5 5 5 5 4 5 3 5 5 1 5 4 5 5 3 2 2 3 2 5 5 5 2 5 1 6 4 2 5 2 3 2 3 6 2 2 3 4 5 4 4 4 2 4 3 2 4 4 2 4 2 4 4 3 3 4 4 3 4 5 3 2 2 4 6 4 3 3 2 5 5 3 4 2 5 4 3 3 5 2 4 4 3 2 5 3 5 4 4 5 3 2 2 4 4 4 2 4 2 5 5 3 5 2 4 2 1 2 2 2 2 2 2 1 2 1 2 2 2 2 1 1 2 2 2 1 1 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 1 2 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 1 1 2 1 1 2 2 2 1 2 2 3 3 2 4 2 4 2 4 4 1 2 4 2 1 2 5 3 3 3 3 4 4 1 2 4 1 2 2 2 3 2 2 4 2 1 2 2 2 1 3 1 2 4 4 2 4 2 1 3 1 2 2 3 2 2 2 4 3 2 2 3 3 2 2 2 4 2 4 3 2 4 2 2 1 4 2 2 4 1 5 5 5 5 5 5 5 5 5 5 3 2 5 5 5 5 5 5 4 5 5 5 3 5 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 2 5 5 5 5 5 5 5 5 2 5 5 5 2 5 5 5 3 5 5 5 5 5 5 5 5 2 5 5 2 5 5 5 5 5 5 5 5 5 2 3 4 1 3 4 5 2 4 4 3 2 1 2 4 4 2 4 3 2 2 1 2 2 2 2 2 2 3 2 4 1 2 2 4 1 1 2 2 2 4 2 3 3 4 4 4 2 1 2 4 2 1 3 2 2 3 4 3 1 5 2 1 2 1 2 1 1 4 2 1 5 1 2 2 1 1 2 4 2 1 1 2 5 3 4 3 3 3 5 1 3 2 3 1 3 1 1 3 1 2 5 2 4 2 3 1 1 1 1 1 1 2 3 2 1 1 3 5 1 4 2 1 3 1 5 1 1 1 3 4 3 1 1 3 1 1 3 1 3 3 3 3 1 1 1 4 2 4 1 3 1 1 1 1 1 1 3 3 3 5 1 1 5 5 3 4 2 5 5 5 5 5 3 4 2 3 2 2 4 4 4 2 5 2 4 2 4 3 4 3 2 2 5 5 5 4 5 5 5 5 5 3 5 5 5 4 3 3 5 5 5 5 3 5 3 2 5 5 4 3 4 3 5 5 4 5 5 5 5 2 3 5 2 5 4 1 4 2 1 3 5 5 3 3 2 2 2 5 2 5 4 3 3 1 4 2 6 3 6 4 5 4 4 2 2 2 2 4 2 5 5 5 2 6 5 4 4 4 4 4 2 2 3 4 4 6 5 5 6 5 2 3 3 3 4 6 5 4 4 4 4 2 3 3 4 2 3 2 5 5 1 3 3 2 3 3 5 3 4 3 3 2 4 5 1 2 2 2 1 2 2 2 2 1 2 2 1 2 2 1 1 2 1 1 1 2 2 1 2 2 2 1 1 2 2 2 2 2 2 2 1 2 1 2 1 2 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 1 2 2 1 1 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 2 2 4 4 2 4 2 2 4 4 1 3 2 4 1 4 2 2 2 2 4 3 2 4 4 1 1 2 4 3 1 1 2 3 3 2 2 1 4 2 4 2 4 4 2 2 1 3 2 4 4 2 2 2 2 4 1 4 2 4 2 2 2 2 4 4 4 4 4 5 4 2 2 2 4 2 4 4 2 4 3 4 2 5 5 5 5 5 5 5 2 3 5 5 5 2 2 2 5 5 5 5 5 5 5 2 5 5 5 2 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 4 2 5 5 2 5 5 1 1 2 4 2 1 3 1 1 2 2 1 2 4 4 5 2 1 4 4 1 2 4 4 4 1 1 2 1 2 4 2 1 2 4 1 1 2 1 4 4 2 1 1 3 2 2 4 2 1 4 4 5 2 4 2 2 2 3 2 2 1 1 4 1 1 4 3 1 4 4 1 4 4 4 1 2 3 2 2 3 2 3 4 1 3 3 5 1 3 4 3 2 1 1 2 1 1 3 4 1 2 1 1 1 1 1 1 2 3 1 3 2 4 3 4 5 2 4 1 1 4 1 1 1 3 1 2 1 1 1 1 1 3 1 2 4 2 5 1 3 1 3 3 5 1 2 1 4 3 5 1 1 5 1 1 1 1 2 5 3 5 2 5 5 4 5 5 5 5 5 4 5 5 5 5 2 3 2 5 5 5 5 5 5 1 5 3 5 1 3 5 5 5 5 5 5 5 4 5 5 5 3 1 5 3 5 2 4 5 3 5 3 5 2 3 5 5 5 5 2 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 3 4 5 2 4 4 1 4 4 4 3 3 3 2 5 4 2 2 2 4 2 5 4 4 1 3 4 6 2 3 5 2 2 4 3 3 4 4 4 5 4 5 4 3 2 4 2 4 6 4 3 5 2 5 4 6 3 3 4 2 5 4 2 3 4 4 5 2 3 4 4 4 3 4 2 4 3 3 3 2 2 2 4 2 4 2 2 2 2 2 2 2 1 2 2 2 2 1 1 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 1 2 1 2 2 2 2 2 2 1 2 1 1 1 2 1 2 2 2 4 2 2 4 2 1 3 2 2 5 4 4 1 2 1 2 4 2 1 2 4 2 2 2 2 4 2 1 4 2 3 2 4 2 4 3 1 4 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 2 5 5 1 4 2 4 2 2 2 4 4 2 3 1 2 4 4 2 1 2 2 2 2 1 3 4 3 4 2 4 4 3 3 1 1 4 1 2 1 1 2 2 2 1 1 1 4 3 1 1 4 1 4 1 1 1 3 4 3 4 1 1 1 2 1 1 1 1 1 4 5 1 1 3 1 1 3 1 1 1 1 5 1 1 2 4 5 5 5 5 5 3 5 5 5 2 5 5 5 4 5 2 4 5 5 5 4 5 5 5 3 5 5 4 5 4 5 5 5 5 2 1 4 3 3 3 4 5 2 4 4 4 2 5 4 5 2 5 3 3 2 2 2 5 5 5 6 5 4 4 4 4 4 3 4 4 2 4 4 3 2 5 5 4 2 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 1 2 2 1 2 2 2 2 2 2 2 1 1 1 2 2 1 2 2 Descriptive statistics count mean sample variance sample standard deviation Manhattan 445 2.67 1.13 1.06 standard error of the mean 0.05 confidence interval 95.% lower confidence interval 95.% upper half-width 2.57 2.77 0.10 Descriptive statistics count mean sample variance sample standard deviation Brooklyn 445 4.53 1.09 1.04 standard error of the mean 0.05 confidence interval 95.% lower confidence interval 95.% upper half-width 4.43 4.63 0.10 Descriptive statistics count mean sample variance sample standard deviation Queens 445 2.47 1.45 1.20 standard error of the mean 0.06 confidence interval 95.% lower confidence interval 95.% upper half-width 2.35 2.58 0.11 Descriptive statistics count mean sample variance sample standard deviation The Bronx 445 2.33 1.88 1.37 standard error of the mean 0.07 confidence interval 95.% lower confidence interval 95.% upper half-width 2.21 2.46 0.13 Descriptive statistics count mean sample variance sample standard deviation Staten Island 445 4.09 1.50 1.22 standard error of the mean 0.06 confidence interval 95.% lower confidence interval 95.% upper half-width 3.98 4.21 0.11 Confidence interval - proportion 95% confidence level 0.038202247 proportion 445 n 1.960 z 0.018 half-width 0.056 upper confidence limit 0.020 lower confidence limit Confidence interval - proportion 95% confidence level 0.748314607 proportion 445 n 1.960 z 0.040 half-width 0.789 upper confidence limit 0.708 lower confidence limit Sample size - mean 0.05 E, error tolerance 1.0637775303 standard deviation 95% confidence level 1.960 z 1738.833 sample size 1739 rounded up Sample size - mean 0.05 E, error tolerance 1.0449799014 standard deviation 95% confidence level 1.960 z 1677.923 sample size 1678 rounded up Sample size - mean 0.05 E, error tolerance 1.2031397667 standard deviation 95% confidence level 1.960 z 2224.274 sample size 2225 rounded up Sample size - mean 0.05 E, error tolerance 1.3714512866 standard deviation 95% confidence level 1.960 z 2890.127 sample size 2891 rounded up Sample size - mean 0.05 E, error tolerance 1.2229376416 standard deviation 95% confidence level 1.960 z 2298.078 sample size 2299 rounded up A Consulting firm was hired to perform a survey on people living in New York City. The survey was completed monthly for six months by 445 randomly selected people in different boroughs. There were a number of items on the survey, but six basic biographical items will be studied for this exercise. The data for the people surveyed in one of these monthly surveys can be found in the Excel file SURVEY. The variables that were used for the basic biographical data are found on the last page of the exercise. In this exercise, some of the estimation techniques presented in the module will be applied to the New York survey results. You may assume that these respondents represent a simple random sample of all potential respondents within the community, and that the population is large enough that application of the finite population correction would not make an appreciable difference in the results. New York City governmental agency personnel like to have point estimates regarding variables describing the biographical information of the people living within the different boroughs. It is very helpful for them to have some idea regarding the likely accuracy of these estimates as well. Therein lies the benefit of the techniques presented in this module and applied here. Item A in the description of the data collection instrument lists variables 1 through 5, which represent the respondent's general attitude toward each of the five boroughs. Each of these variables has numerically equal distances between the possible responses, and for purposes of analysis they may be considered to be of the interval scale of measurement. Determine the point estimate, and then construct the 95% confidence interval for 1= the average attitude toward Manhattan. Repeat part (a) for 2through 5, the average attitudes toward Brooklyn, Queens, The Bronx and Staten Island, respectively. Given the breakdown of responses for variable 6 (highest level of education), determine the point estimate, then construct the 95% confidence interval for 6= the population proportion of doctoral degrees. Given the breakdown of responses for variable 7 (marital status of respondent), determine the point estimate, and then construct the 95% confidence interval for 7 = the population proportion in the \"single or other\" category. Assume the governmental agencies requested estimates of the mean attitudes towards each borough with a margin of error of 0.05 for each borough. If the governmental agency personnel want to have 95% confidence that the sample mean will fall within this margin of error, how large should the sample sizes be for each borough? NOTE: You MUST submit your Excel file with your report. This will aid in grading with partial credit if errors are found in the report. A. General Attitude toward Each Borough (Variables 1-5) 1. Manhattan 2. Brooklyn 3. Queens 4. The Bronx 5. Staten Island Like Very Much (5) (5) (5) (5) (5) Like (4) (4) (4) (4) (4) Neutral (3) (3) (3) (3) (3) Dislike (2) (2) (2) (2) (2) Dislike Very Much (1) (1) (1) (1) (1) B. Information about the Respondent (Variables 6-7) 1. What is your highest level of education? (1) = Did not complete High school (2) = High school degree/GED (3) = Associate's degree (4) = Bachelor's degree (5) = Master's degree (6) = Doctoral degree Marital Status: (1) = Married (2) = Single or other Answer: Determine the point estimate, and then construct the 95% confidence interval for 1= the average attitude toward Manhattan. Point estimate of Manhattan 1 = x sum of values of manhattan 2.67 n 445 95% confidence interval for Manhattan 1= standard deviation 1.06 mean 1.96 2.67 1.96 n 445 2.57 , 2.77 The output of excel data is given below. count mean sample variance sample standard deviation standard error of the mean confidence interval 95.% lower confidence interval 95.% upper half-width Manhattan 445 2.67 1.13 1.06 0.05 2.57 2.77 0.10 Similarly the point estimate and 95% confidence interval for Brooklyn is Point estimate of Brooklyn 2=4.53 95% confidence interval for Brooklyn 2=(4.43,4.63) Below is the excel output count mean sample variance sample standard deviation standard error of the mean confidence interval 95.% lower confidence interval 95.% upper half-width 445 4.53 1.09 1.04 0.05 4.43 4.63 0.10 Point estimate of Queens3=2.47 95% confidence interval for Queens3=(2.35,2.38) Below is the excel output count mean sample variance sample standard deviation standard error of the mean confidence interval 95.% lower confidence interval 95.% upper half-width Queen s 445 2.47 1.45 1.20 0.06 2.35 2.58 0.11 Point estimate of Bronx 4=2.33 95% confidence interval for Bronx 4=(2.21,2.46) Below is the excel output count mean sample variance sample standard deviation standard error of the mean confidence interval 95.% lower confidence interval 95.% upper half-width The Bronx 445 2.33 1.88 1.37 0.07 2.21 2.46 0.13 Point estimate of Staten Island 5=4.09 95% confidence interval for Staten Island 5=(3.98,4.21) Below is the excel output Breakdown of responses for variable 6 (highest level of education) and their point estimates is Count = No.of observations corresponding to education Point estimate 'p' = No.of observations corresponding to education/total number of observations Educatio n coun t Point estimate 1 2 3 4 5 6 Total 7 117 84 148 72 17 445 0.015730337 0.262921348 0.188764045 0.33258427 0.161797753 0.038202247 Determine the point estimate, then construct the 95% confidence interval for 6= the population proportion of doctoral degrees. 95% confidence interval for population proportion of doctoral degrees is = p 1 p 0.038202247 1 0.038202247 0.038202247 1.96 p 1.96 n 445 0.020 , 0.056 Excel output is Similarly for the variable 7 is Breakdown of responses for variable 7 (marital status of respondent), determine the point estimate, and then construct the 95% confidence interval for 7 = the population proportion in the \"single or other\" category. Marital Status 1 2 counts Point estimate 112 0.251685393 333 0.748314607 445 95% confidence interval for 'single or other' category =(0.708,0.789) The excel output is Assume the governmental agencies requested estimates of the mean attitudes towards each borough with a margin of error of 0.05 for each borough. If the governmental agency personnel want to have 95% confidence that the sample mean will fall within this margin of error, how large should the sample sizes be for each borough Margin of error is defined as ME = Z / 2 Then sample size n = Z 0.025 sd ME sd sd Z 0.025 n n 2 Margin of error =0.05 and standard deviation is computed from the given data set of Manhattan Then the sample size n = 1739 Below is the excel output: Similarly for other Then the sample size n for Brooklyn is= 1678 Below is the excel output: Then the sample size n for Queens is= 2225 Below is the excel output: Then the sample size n for The Bronx is= 2891 Below is the excel output: Then the sample size n for The Staten Island is= 2299 Below is the excel output