- Extracredit 06 Problem 2 Problem Value 1 Point S Problem Score 40 Attempts Remaining Unlimited 1 Point Overpr 1 (62 KiB) Viewed 96 times
Extracredit-06: Problem 2 Problem Value: 1 point(s). Problem Score: 40%. Attempts Remaining: Unlimited. (1 point) Overpr
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Extracredit-06: Problem 2 Problem Value: 1 point(s). Problem Score: 40%. Attempts Remaining: Unlimited. (1 point) Overpr
Extracredit-06: Problem 2 Problem Value: 1 point(s). Problem Score: 40%. Attempts Remaining: Unlimited. (1 point) Overpriced Apples - In a poll of 242 college students, 191 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 99% 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 99% confidence and a margin of error of no more than 4%? 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 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. B. We expect any sample proportion to be in the interval 90% of the time, on average. C. 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. D. 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. 4. Janae's roommate, Olivia, uses Janae's sample results to calculate a 99% confidence interval for the true proportion of college students at Janae's college who believe that iPhones are overpriced. Olivia's interval will be wider than Janae's interval.