Question

2-

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 two-sided test with zcrit = -1.645 and 1.645.

-n 1 = n 1999 = 334

-n 2 = n 2009 = 843

-p ^ 1 = p ^ b i n g e 1999 = 0.422

-p ^ 2 = p ^ b i n g e 2009 = 0.212

A) Calculate the appropriate test statistic showing your work. What is the standard error?

B) What is the test statistic value?

C) Calculate the corresponding p-value from the appropriate table.

D) Construct a 90% confidence interval around the difference-in-proportions estimate. Lower bound and upper bound values?

Answer 1

Solution:-