Question

In a survey of 639 males ages​ 18-64, 398 say they have gone to the dentist in the past year. Construct​ 90% and​ 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. The​ 90% confidence interval for the population proportion p is ​( nothing​, nothing​). ​(Round to three decimal places as​ needed.) The​ 95% confidence interval for the population proportion p is ​( nothing​, nothing​). ​(Round to three decimal places as​ needed.) Interpret your results of both confidence intervals. A. With the given​ confidence, it can be said that the population proportion of males ages​ 18-64 who say they have gone to the dentist in the past year is between the endpoints of the given confidence interval. B. With the given​ confidence, it can be said that the sample proportion of males ages​ 18-64 who say they have gone to the dentist in the past year is between the endpoints of the given confidence interval. C. With the given​ confidence, it can be said that the population proportion of males ages​ 18-64 who say they have gone to the dentist in the past year is not between the endpoints of the given confidence interval. Which interval is​ wider? The​ 90% confidence interval The​ 95% confidence interval

Answer 1

The​ 90% confidence interval for the population proportion p is ( 0.591 , 0.654 ) .

The​ 95% confidence interval for the population proportion p is ( 0.585 , 0.660 )

With the given​ confidence, it can be said that the population proportion of males ages​ 18-64 who say they have gone to the dentist in the past year is between the endpoints of the given confidence interval.

The​ 95% confidence interval is wider.