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 binging at least three times within the # past two weeks was 42.215% (n=334) in 1999 and 21.234% (n=843) in 2009.

# (a) Compute a 95% confidence interval for the difference in the proportion of students # who binge at least three times within the past two weeks between the years of 1999 and 2009.

# (b) Interpret the interval in (a).

# (c) State the hypotheses to test that the proportion of students with high-risk drinking # behaviors has changed from 1999 to 2009.

# (d) Based on the confidence interval in (a), do you expect to have some level of evidence for # the alternative? Explain.

# (e) Conduct the hypothesis test in (c) to confirm your answer in (d). Be sure to show all work # and appropriate write-up of the test.