Homework #8 Note: For all hypothesis testing problems, please make sure that you write the hypotheses, test statistic, p-value, and conclusions in terms of the problem. 1. We are interested in estimating the proportion of students at a university who smoke. Out of a random sample of 200 students from this university, 40 students smoke. (1) Calculate a 95% confidence interval for the proportion of students at this university who smoke and interpret this interval in context. (2) If we wanted the margin of error to be no larger than 2% at a 95% confidence level for the proportion of students who smoke, how big of a sample would we need? I
3. The Pew Research Center recently polled n=1048 U.S. drivers and found that 69% enjoyed driving their automobiles. (1) Construct a 95% confidence interval for the proportion of U.S. drivers who enjoy driving their automobiles. (2) In 1991, a Gallup Poll reported this percent to be 79%. Using the data from this poll, test the claim that the percent of drivers who enjoy driving their cars has declined since 1991. Use a 5% significance level. I
Homework #8 Note: For all hypothesis testing problems, please make sure that you write the hypotheses, test statistic, p
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Homework #8 Note: For all hypothesis testing problems, please make sure that you write the hypotheses, test statistic, p
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