In 1946, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?" Of the 1100 adults surveyed, 363 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 341 indicated that they were total abstainers. Complete parts (a) and (b) below.
C. The sample size is less than 5% of the population size for each sample.
D. The samples are independent.
E. The sample size is more than 5% of the population size for each sample.
F. $n_1\hat{p}_1(1-\hat{p}_1) \ge 10$ and $n_2\hat{p}_2(1-\hat{p}_2) \ge 10$
Identify the null and alternative hypotheses for this test. Let $p_1$ represent the population proportion of 1946 adults who were total abstainers and $p_2$ represent the population proportion of recent adults who were total abstainers.
Determine the null and alternative hypotheses.
$H_0: p_1 = p_2$
$H_1: p_1 \ne p_2$
Find the test statistic for this hypothesis test.
1.01 (Round to two decimal places as needed.)
Determine the P-value for this hypothesis test.
(Round to three decimal places as needed.)
