Question

n 1944​, 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, 396 indicated that they were total abstainers. In a recent​ survey, the same question was asked of 1100 adults and 374 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 1944 survey and the recent survey who were total abstainers are nothing and nothing​, respectively. ​(Round to three decimal places as needed Has the proportion of adults who totally abstain from alcohol changed. Use the a=0.10 level of significance Determine the null and alternative hypothesis Find the test statistics for this hypothesis test Interpret the P value State conclusion for hypothesis test

Answer 1

Here using ti-83 calculator.

a)

x1 = 396

n1 = 1100

= (x1/n1) = 0.360

x2 = 374

n2 = 1100

= (x2/n2) = 0.340

p^ = (x1+x2)/(n1+n2)

Test Hypothesis :-

H0 : p1=p2

Ha : p1 p2

Test statistic :-

z = 0.98

P-value :-

P=0.3254

Conclusion :-

P-value is greater than alpha=0.10, so conclude that do not reject the null hypothesis (H0).

Therefore, there is not enough evidence to support the claim.