Reference no: EM132479413
1. The PACE project at the University of Wisconsin in Madison deals with problems associated with high-risk drinking on college campuses. Based on random samples, the study states that the percentage of UW students who reported bingeing at least three times within the past two weeks was 42.2% in 1999 (n = 334) and 21.2% in 2009 (n = 843). Test that the proportion of students reporting bingeing in 1999 is different from the proportion of students reporting bingeing in 2009 at the 10% significance level.
(A) What are the null and alternative hypotheses?
(B) Based on the significance level at which you are testing, what is (are) the critical value(s) for the test?
(C) Calculate the appropriate test statistic, showing all your work.
(D) Calculate the corresponding p-value from the appropriate table or online calculator.
(E) What conclusions can you draw from the hypothesis test? Be sure to comment on evidence from both the test statistic and p-value.
(F) Construct a 90% confidence interval around the difference-in-proportions estimate.
(G) How would you interpret the confidence interval? What connections can you draw between the confidence interval and the hypothesis test?
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