Question: 8.125 An alternative interval for the population proportion The large-sample confidence interval for a proportion substitutes pn for the unknown value of p in the

8.125 An alternative interval for the population proportion The large-sample confidence interval for a proportion substitutes pn for the unknown value of p in the formula for the standard deviation of pn. An alternative method to form a 95% confidence interval determines the endpoints of the interval by finding the values for p that are 1.96 standard deviations from the sample proportion, without a need to estimate the standard deviation. To do this, you solve for p in the equation

|pp|=1.96p(1 - p)/n. This interval is known as the (Wilson) score confidence

|pp|=1.96p(1 - p)/n. This interval is known as the (Wilson) score confidence interval for a proportion. a. For Example 10 with no students without an MP3 player in a sample of size 20, substitute p and n in this equation and show that the equation is satisfied at p=0.83337 and at p = 1. So the confidence interval is (0.83887,1), compared to (1, 1) with 1.96 (se). b. Which confidence interval seems more believable? Why?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Statistics Alive Questions!

Let's say you collected a sample and calculated characteristics of center and deviation. Imagine you expanded the of your sample and collected data from the whole population. Practically, it's very...

The questions are in the photos below: I would all of them solved, and the correct answer options too. Question 12 Not yet answered Marked out of 1.00 V Flag question A few years ago, a cola...

MTH157 Exam #3 Chapters 5 and 6 Take-home Study Edition Summer 2017 Do all subparts of a problem, e.g., 2.1 - 2.3 for problem 2 The in-class test's seven (7) problems will entail at least four...

2. The prevalence rate of Hypertension among US adults is 30%. We plan to draw a random sample of 70 people from that population. What is the standard error of the sample proportion of hypertension?...

PLEASE PAY CLOSE ATTENTION TO WHAT IS BEING ASKED IN QUESTIONS. I have arrange the questions 1-6, please only provide answer with question number and part (ex. 1a, 1b, 2a, 2b, etc.). No explanation...

Math 201 Week 5 Online Test Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Assume that a procedure...

Please help me answer these. The yield of a random sample of 20 farmers showed an average of 75 cavan and a standard deviation of 3 cavan. Construct a 95% confidence interval for the average yield of...

The large-sample confidence interval for a proportion substitutes p for the unknown value of p in the exact standard error of p. A less approximate 95% confidence interval has endpoints determined by...

For Questions 1 - 3:For two equally balanced, 6-sided die that are tossed, the following table represents the entire probability space where the first number represents the number on the first die,...

8 points) (Pagano/Gauvreaux Ch9 Q5) The distributions of systolic and diastolic blood pressures for female diabetics between the ages of 30 and 34 have unknown means. However, their standard...

Go to Connect for the financial statements of RONA Inc. Required 1. What is the companys revenue recognition policy? (Hint: Look in the notes to the financial statements.) 2. How much inventory did...

A 3-m board of mass 5 kg is hinged at one end. A force F is applied vertically at the other end to lift a 60-kg block, which rests on the board 80 cm from the hinge, as shown in Figure. (a) Find the...

Six months ago, Arya, a 2 4 - year - old graduate, moved to Vancouver from Montreal to be closer to her long - time boyfriend, Max. Max lived with his parents, while Arya rented a one - bedroom...

Consider the following recurrence relations. Using a calculator, make a table with at least 10 terms and determine a plausible value for the limit of the sequence or state that it does not exist. an...

For the following 28 scores on a 40-point test, a. Construct a bar graph using 4-point score intervals and b. Draw a frequency curve using 4-point score intervals. 27 24 21 36 25 25 38 27 25 17 31 20...

Thirty freshmen living on campus were asked how many times they skipped breakfast during the previous month. A check of their meal card swipes reveals the following number of skips: 2, 4, 0, 7, 5, 8,...

Select a score from Table 3.6. Using the appropriate formula, determine that scores percentile rank. Table 3.6 Cumulative Relative Frequency for Statistics Test Scores Score 98 96 94 93 92 91 90 89...

Attempts Keep the Highest / 3 2. Problem 9-04 (Sales Increase) eBook Sales Increase Maggie's Muffins Bakery generated $4 million in sales during 2018, and its year-end total assets were $2.8 million....

The following T-accounts summarize the ledger of Lily Landscaping Company at the end of the first month of operations. Cash No. 101 4/1 10,000 4/15 2,100 4/12 700 4/25 1,000 4/29 550 4/30 2,100 4/7...

4 Given Data Solve for Net Income After Taxes Net interest income 810 Total Interest Income Provision for loan loss 90 Total non-interest expenses $40 Total interest income 3060 Total Int. Expenses...