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Overpriced Apples - In a poll of 228 college students, 176 believe that iPhones are overpriced. You are interested in estimating the true proportion of college students who think iPhones are overpriced. Round all calculated answers to 4 decimal places where appropriate.

Overpriced Apples - In a poll of 228 college students, 176 believe that iPhones are overpriced. You are interested in estimating the true proportion of college students who think iPhones are overpriced. Round all calculated answers to 4 decimal places where appropriate.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Overpriced Apples - In a poll of 228 college students, 176 believe that iPhones are overpriced. You are interested in estimating the true proportion of college students who think iPhones are overpriced. Round all calculated answers to 4 decimal places where appropriate. 1. Using the information from the poll, construct a 95% confidence interval for the true proportion of college students who think iPhones are overpriced. 2. How many college students should you survey to estimate the true proportion of college students who think iPhone are overpriced, with 95% confidence and a margin of error of no more than 4.5%? Use the information from the poll for a planning value for p*. n = 3. Janae is a statistics student who conducts a similar survey at her college. She constructs a 90% confidence interval for the true proportion of college students at her college who believe the iPhones are overpriced to be (0.354, 0.492). Which of the following statements are appropriate interpretations of the confidence interval? Select all that apply. A. We expect any sample proportion to be in the interval 90% of the time, on average. B. In repeated sampling, we can expect 90% of the intervals we construct to contain the true proportion of college students at Janae's college who believe iPhones are overpriced. C. We can be 90% confident that, on average, a new sample of the same size will give a sample proportion within the lower and upper bounds of the confidence interval. OD. We can be 90% confident that the true proportion of college students at Janae's college who believe iPhones are overpriced is contained in the interval constructed above. 4. Janae's roommate, Olivia, uses Janae's sample results to calculate a 95% confidence interval for the true proportion of college students at Janae's college who believe that iPhones are overpriced. Olivia's interval will be v? Janae's interval. wider than narrower than Help Entering Answers the same width as
Transcribed Image Text:Overpriced Apples - In a poll of 228 college students, 176 believe that iPhones are overpriced. You are interested in estimating the true proportion of college students who think iPhones are overpriced. Round all calculated answers to 4 decimal places where appropriate. 1. Using the information from the poll, construct a 95% confidence interval for the true proportion of college students who think iPhones are overpriced. 2. How many college students should you survey to estimate the true proportion of college students who think iPhone are overpriced, with 95% confidence and a margin of error of no more than 4.5%? Use the information from the poll for a planning value for p*. n = 3. Janae is a statistics student who conducts a similar survey at her college. She constructs a 90% confidence interval for the true proportion of college students at her college who believe the iPhones are overpriced to be (0.354, 0.492). Which of the following statements are appropriate interpretations of the confidence interval? Select all that apply. A. We expect any sample proportion to be in the interval 90% of the time, on average. B. In repeated sampling, we can expect 90% of the intervals we construct to contain the true proportion of college students at Janae's college who believe iPhones are overpriced. C. We can be 90% confident that, on average, a new sample of the same size will give a sample proportion within the lower and upper bounds of the confidence interval. OD. We can be 90% confident that the true proportion of college students at Janae's college who believe iPhones are overpriced is contained in the interval constructed above. 4. Janae's roommate, Olivia, uses Janae's sample results to calculate a 95% confidence interval for the true proportion of college students at Janae's college who believe that iPhones are overpriced. Olivia's interval will be v? Janae's interval. wider than narrower than Help Entering Answers the same width as
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