Question

In 1947​, 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, 363 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.

​(a) Determine the sample proportion for each sample.

The proportions of the adults who took the 1947 survey and the recent survey who were total abstainers are __?__and __?__​, respectively.

​(Round to three decimal places as​ needed.)

Answer 1

sample #1   ----->   1947 survey
first sample size,     n1=   1100
number of successes, sample 1 =     x1=   363
proportion success of sample 1 , p̂1=   x1/n1=   0.3300
      
sample #2   ----->   recent survey
second sample size,     n2 =    1100
number of successes, sample 2 =     x2 =    308
proportion success of sample 1 , p̂ 2=   x2/n2 =    0.2800

a)

The proportions of the adults who took the 1947 survey and the recent survey who were total abstainers are 0.330 and 0.280​, respectively