In a study of bingedrinking, the percent who said they had engaged in unplanned sexual activities because of drinking alcohol was 24% in 1993 (n=151) and 30% in 2005 (n=484). Is this change statistically significant at the 0.05 significancelevel?

a. Specifyassumptions, notation, and hypotheses for atwo-sided test.

Specify the assumptions.

Each sample must have at least five outcomes of each type(successes andfailures). The data must be {categorical quantitative} , and the samples must be independent random samples.

Specify the notation. Choose the correct answer below.

A.

p is the proportion who say they had not engaged in unplanned sexual activities because of drinking alcohol.

B.

p is the proportion who say they had engaged in unplanned sexual activities because of drinking alcohol.

C.

p is the proportion who say they participated in binge drinking.

b. Specify the hypotheses. Choose the correct answer below.

A.

H0:p1=p2;Ha:p1p2

B.

H0:p1=p2;Ha:p1

C.

H0:p1p2;Ha:p1=p2

D.

H0:p1=p2;Ha:p1>p2

c. Find the standard error for the difference used in the test.

se0=

d. Find the test statistic using your answer from part(c).

z=

p value=

Make a decision using a significance level of 0.05.

We {have, do not have} sufficient evidence to reject the nullhypothesis; we are

{unable, able} to show that there is a difference in proportions of reports of engaging in unplanned sexual activities because of drinking between 1993 and 2005.