Population 1 Population 2 n 49 22 s 7.9 Test the hypothesis that 1 2 at the = 0.05 level of significance for the given sample data.

not reject reject

11.    

An organization surveyed 1,100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?" Of the 1,100 adults surveyed, 363 indicated that they were total abstainers. Sixty years later, the same question was asked of 1,100 adults and 410 indicated that they were total abstainers. Has the proportion of adults who totally abstain from alcohol changed? Use the α = 0.01 level of significance.

Determine the null and alternative hypotheses. Choose the correct answer below.

A.   

H0 : p1 = p2 versus H1 : p1 ≠ p2

B.   

H0 : p1 = 0 versus H1 : p1 ≠ 0

C.   

H0 : p1 = p2 versus H1 : p1 < p2

D.   H0 : p1 = p2 versus H1 : p1 > p2

The test statistic  z0  is. (Round to two decimal places as needed.)

The P-value is                          . (Round to three decimal places as needed.)

What is the result of this hypothesis test?

A.   

Do not reject the null hypothesis because there is not sufficient evidence to conclude that the proportion of adults who totally abstain from alcohol has changed at the α = 0.01 level of significance.

B.   

Reject the null hypothesis because there is sufficient evidence to conclude that the proportion of adults who totally abstain from alcohol has changed at the α = 0.01 level of significance.

C.   

Reject the null hypothesis because there is not sufficient evidence to conclude that the proportion of adults who totally abstain from alcohol has changed at the α = 0.01 level of significance.

D.   Do not reject the null hypothesis because there is sufficient evidence to conclude that the proportion of adults who totally abstain from alcohol has changed at the α = 0.01 level of significance.