Question

In 1941, 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, 374 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 319 indicated that they were total abstainers. Complete parts (a) and (b) below.

(a) Determine the sample proportion for each sample.

The proportions of the adults who took the 1941 survey and the recent survey who were total abstainers are___________and____________, respectively. (Round to three decimal places as needed.)

(b) Has the proportion of adults who totally abstain from alcohol changed? Use the α = 0.10 level of significance.

First verify the model requirements. Select all that apply.

A. n1p1(1− p1)≥ 10 and n2p2 (1− p2)≥ 10

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

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

D. The samples are dependent.

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

F. The samples are independent.

Identify the null and alternative hypotheses for this test. Let p1 represent the population proportion of 1941 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 (1) ___________p2

H1 : p1 (2) __________ p2

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

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

Interpret the P-value.

If the population proportions are (3) __________ one would expect a sample difference proportion (4)___________                                                                            

the one observed in about _________ out of 100 repetitions of this experiment. (Round to the nearest integer as needed.)

State the conclusion for this hypothesis test.

A. Do not reject H0 . There is sufficient evidence at the α = 0.10 level of significance to suggest the proportion of adults who totally abstain from  

      alcohol has changed.

B. Reject H0 . There is sufficient evidence at the α = 0.10 level of significance to suggest to proportion of adults who totally abstain from alcohol has changed.

C. Reject H0 . There is not sufficient evidence at the α = 0.10 level of significance to suggest the proportion of adults who totally abstain from alcohol has changed.

D. Do not reject H0 . There is not sufficient evidence at the α = 0.10 level of significance to suggest the porportion of adults who totally abstain from

      alcohol has changed.

Answer 1

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군 2.44 p-vcne O.GIT anplc diHc sharsed