Question

In 1950, 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, 352 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 286 indicated that they were total abstainers.

(a) Determine the sample proportion for each sample. The proportions of the adults who took the 1950 survey and the recent survey who were total abstainers are 0.32 and 0.26, respectively. (Round to three decimal places as needed.)

First verify the model requirements. Select all that apply.

A. The sample size is more than 5% of the population size for each sample.

B. The sample size is less than 5% of the population size for each sample.

C. The samples are independent.

D. n1 p̂1 (1- p̂1) ≥ 10 and n2 p̂2 (1- p̂2) ≥10

E. The samples are dependent.

F. The data come from a population that is normally distributed.

Identify the null and alternative hypotheses for this test. Let p1 represent the population proportion of 1950 adults who were total abstainers and p2 represent the population proportion of recent adults who were total abstainers. Determine the null and alternative hypotheses.

H0: p1

▼ < = ≠ >

p2

H1: p1

▼ = > < ≠

p2

Answer 1