Question: Check if the sample size is large enough to use the normal distribution to make a confidence interval for p for each of the following

Check if the sample size is large enough to use the normal to make a confidence interval for p for each of the following cases.
a. n = 50 and p̂ = .25
b. n = 160 and p̂ = .03
c. n = 400 and p̂ = .65
d. n = 75 and p̂ = .06

Step by Step Solution

★★★★★

3.48 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a n 50 p 25 1 p 1 25 75 n p 5025 125 and n 5075 375 Since n ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

492-M-S-P-E (602).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

A one-sided confidence interval for p can be written as p - E, where the margin of error E is modified by replacing z/2 with z. If Air Borealis wants to report an on-time performance of...

The following MINITAB output presents a confidence interval for a population mean, but some of the numbers got smudged and are now illegible. Fill in the missing numbers for (a), (b), and (c)....

For a given x, a confidence interval for E (y) will always be wider than a prediction interval for y.

1- For a population data set, standard deviation=12.6. How large a sample should be selected so that the margin of error of estimate for 97% a confidence interval for =2.5 is ? 2- For a population...

1- Explain the meaning of a point estimate and an interval estimate. a- A point estimate is a population parameter used in calculations while an interval estimate is an interval that is constructed...

1- The high price of medicines is a source of major expense for those seniors in the United States who have to pay for these medicines themselves. A random sample of 1900 seniors who pay for their...

8.70 Check if the sample size is large enough to use the normal distribution to make a confidence interval for p for each of the following cases. a. n 50 and b. n 160 and c. n 400 and d. n 75 and

8.71 Check if the sample size is large enough to use the normal distribution to make a confidence interval for p for each of the following cases. a. n 80 and b. n 110 and c. n 35 and d. n 200 and

In each of the following cases, do you think the sample size is large enough to use the normal distribution to make a test of hypothesis about the population proportion? Explain why or why not. A)...

In each of the following cases, do you think the sample size is large enough to use the normal distribution to make a test of hypothesis about the population proportion? Explain why or why not. a. n...

On December 31, a business estimates depreciation on equipment used during the first year of operations to be $7,500. (a) Journalize the adjusting entry required as of December 31. (b) If the...

Creative Financing Inc. is planning to offer a $1000 par value 16 year maturity bond with a coupon interest rate that changes every 4 years. The coupon rate for the first four years is 6.8%, 7.2% for...

5.13 Your percent from Exercise 5.12 is part of a. the marginal distribution of outcome. b. the conditional distribution of outcome, given treatment. c. the conditional distribution of treatment,...

Taxation and Stock Prices Consider a version of Lucas's one-tree model along the lines of the discussion in Section 3.3, with u (c) = In c. Let d, follow a Markov process with prob(d,+, d'\d,d)=ff(s,...

The force f(L) (in pounds) you must exert on a wrench handle of length L inches to loosen a bolt is described by the equation f(L) = 720L-1. a. Simplify the right-hand side of the equation. b. Find...

If a person plays an electric guitar outside, the sound level f(d) (in decibels) at a distance d yards from the amplifier is described by the equation f(d) = 5760d-2. a. Simplify the right-hand side...

The amount of light f(d) (in milliwatts per square centimeter) of a 50-watt light bulb at a distance d centimeters from the bulb is described by the equation f(d) = 8910d-2. a. Simplify the...

You work for a local construction firm, "DeVry Engineering Group" and your supervisor wants to test your knowledge and skills with Microsoft Excel and has instructed you to develop a spreadsheet to...

A bag contains 7 red marbles, 9 blue marbles, and 3 green marbles. If one marble is randomly selected from the bag, what is the probability that it is blue? Write your answer as a decimal rounded to...

Use the dataset Homework2_Data1 and a simple linear regression model to calculate the beta of the stock ABC based on CAPM (see Lecture 5). Please notice that the variables are stock return and...