Overpriced Apples - In a poll of 247 college students, 200 believe that iPhones are overpriced. You are interested in estimating the true proportion of college students who think iPhones are...


Overpriced Apples - In a poll of 247 college students, 200 believe that iPhones are overpriced. You are interested in estimating the true proportion of<br>college students who think iPhones are overpriced.<br>Round all calculated answers to 4 decimal places where appropriate.<br>1. Using the information from the poll, construct a 95% confidence interval for the true proportion of college students who think iPhones are<br>overpriced.<br>2. How many college students should you survey to estimate the true proportion of college students who think iPhone are overpriced, with 95%<br>confidence and a margin of error of no more than 3.5%? Use the information from the poll for a planning value for p*.<br>n =<br>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<br>college students at her college who believe the iPhones are overpriced to be (0.354, 0.492).<br>Which of the following statements are appropriate interpretations of the confidence interval? Select all that apply.<br>A. We expect any sample proportion to be in the interval 90% of the time, on average.<br>B. 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<br>the confidence interval.<br>C. 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<br>believe iPhones are overpriced.<br>)D. 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<br>interval constructed above.<br>

Extracted text: Overpriced Apples - In a poll of 247 college students, 200 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 3.5%? 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. 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. C. 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. )D. 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.
Jun 11, 2022
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