Question

In 1940​, 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 363 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 1940 survey and the recent survey who were total abstainers are ____ and _____​, respectively. ​(Round to three decimal places as​ needed.)

Answer 1

SOLUTION:

From given data,

In 1940​, 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 363 indicated that they were total abstainers.

= 396

= 363

= 1100

= 1100

(a) Determine the sample proportion for each sample.

The proportions of the adults who took the 1940 survey and the recent survey who were total abstainers are ____ and _____​, respectively. ​(Round to three decimal places as​ needed.)

Sample proportion , for 1940 survey

= /

= 396 / 1100

= 0.36

Sample proportion , for recent survey

= /

= 363 / 1100

= 0.33

The proportions of the adults who took the 1940 survey and the recent survey who were total abstainers are 0.36 and 0.33 respectively.