An organization surveyed 1, 100 adults and asked, \"Are you a total abstainer fr

Question

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, 362 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 alpha = 0.05 level of significance. Determine the null and alternative hypotheses. Choose the correct answer below. A. H_0: p_1 = 0 versus H_1: p_1 notequalto 0 B. H_0: p_1 = p_2 versus H_1: p_1 > p_2 c. H_0: p_1 = p_2 versus H_1: p_1 notequalto p_2 D. H_0: p_1 = p_2 versus H_1: p_1

Explanation / Answer

The statistical software output for the given problem is:

Two sample proportion hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 0

Hypothesis test results:

Hence,

Test statistic = -1.53

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 362 1100 396 1100 -0.030909091 0.020263442 -1.5253624 0.1272

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