Question

I need help with the last part of this problem. I posted the first parts that I already have the answers to also but only need help with the final part. Thanks.

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

Find the test statistic for this hypothesis test. 3.10 (Round to two decimal places as needed.)

Determine the P-value for this hypothesis test. 0.002 (Round to three decimal places as needed.)

Interpret the P-value. If the population proportions are ▼ Equal Not Equal one would expect a sample difference proportion ▼ Smaller than Greater than Smaller than the absolute value of Greater than the absolute value of the one observed in about ___?_____out of 100 repetitions of this experiment. (Round to the nearest integer as needed.)

Answer 1

Interpret the P-value.

If the population proportions are equal one would expect a sample difference proportion greater than the absolute value of the one observed is about 0 out of 100 repetitions of this experiment