Question

Its a long one! Thank you so much for the help.

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, 374 indicated that they were total abstainers. In a recent​ survey, the same question was asked of 1100 adults and 308 indicated that they were total abstainers. Complete parts​ (a) and​ (b) below.

(a) Determine the sample proportion for each sample. (Round to three decimal places as​ needed.)

The proportions of the adults who took the 1946 survey and the recent survey who were total abstainers are ___and ___​,respectively.

(b)

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

(c)

Now find the test statistic

z 0 = ___

(d)

Find the​ P-value for this hypothesis test.

Answer 1

Decision :

p value < l.o.s

i.e ., 0.0024 < 0.10

so reject H0

Conclusion :

At alpha = 0.10 l.o.s there is enough evidence to claim that the proportion of adults who totally abstain from alcohol​ changed