An organization surveyed 100 adults and asked "Are you a total abstainer from, or do you on occasion consume alcoholic beverages?" Of the 100 adults surveyed, 36 indicated that they were total abstainers. Sixty years later, the same question was asked of 1,100 adults and 396 indicated that they were total abstainers. Has the proportion of adults who totally abstain from alcohol changed? Use the α = 0.05 level of significance.
Determine the null and alternative hypotheses: Choose the correct answer below:
A. H0: P1 = P2 versus Ha: P1 ≠ P2
B. H0: P1 = P2 versus Ha: P1 > P2
C. H0: P1 = 0 versus Ha: P1 ≠ 0
D. H0: P1 = P2 versus Ha: P1 < P2
The test statistic Z 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. 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 = 0.05 level of significance.