In 1945​, 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, 407 indicated that they were total abstainers. In a recent​ survey, the same question was asked of 1100 adults and 341 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 1945 survey and the recent survey who were total abstainers are 0.3700.370 and . 310.310​, respectively. ​(Round to three decimal places as​ needed.) ​(b) Has the proportion of adults who totally abstain from alcohol​ changed? Use the α=0.05 level of significance.   First verify the model requirements. Select all that apply.     A. The data come from a population that is normally distributed.   B. The samples are independent.   C. The sample size is less than​ 5% of the population size for each sample.   D. The samples are dependent.   E. The sample size is more than​ 5% of the population size for each sample.   F. n1p1(1−p1)≥10 and   n2p2(1-p2)≥10

Question
In
1945​,
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,
407
indicated that they were total abstainers. In a recent​ survey, the same question was asked of
1100
adults and
341
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
1945
survey and the
recent
survey who were total abstainers are
0.3700.370
and
. 310.310​,
respectively.
​(Round to three decimal places as​ needed.)
​(b) Has the proportion of adults who totally abstain from alcohol​ changed? Use the
α=0.05
level of significance.
 
First verify the model requirements. Select all that apply.
 
 
A.
The data come from a population that is normally distributed.
 
B.
The samples are independent.
 
C.
The sample size is less than​ 5% of the population size for each sample.
 
D.
The samples are dependent.
 
E.
The sample size is more than​ 5% of the population size for each sample.
 
F.
n1p1(1−p1)≥10
and  
n2p2(1-p2)≥10

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