Construct a 95% confidence interval for the data: Score: 0 of 1 pt 34 of 35 (28

Question

Construct a 95% confidence interval for the data:

Score: 0 of 1 pt 34 of 35 (28 complete) N Score: 71.96%, 9.3.11 Question Help In a survey of 1078 adults, a poll asked, "Are you worried or not worried about having enough money for retirement?" Of the 1078 surveyed, 629 stated that they were worried about having enough money for retirement. Construct a 95% confidence interval for the proportion of adults who are worried about having enough money for retirement. A 95% confidence interval for the proportion of adults who are worried about having enough money for retirement is (,) (Use ascending order. Round to four decimal places as needed.)

Explanation / Answer

Here sample proportion = 629/1078 = 0.5835

standard error of proportion se0 = sqrt (p * q/N) = sqrt [ 0.5835 * 0.4165/1078] = 0.015

95% confidence interval = p^ +- Z95%  se0

= 0.5835 +- 1.96 * 0.015

= (0.5541, 0.6129)

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