In a survey of 661 males ages 18-64, 398 say they have gone to the dentist in th

Question

In a survey of 661 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 ( (Round to three decimal places as needed.) ). The 95% confidence interval for the population proportion p is ( (Round to three decimal places as needed.) Interpret your results of both confidence intervals. th 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. O B. With the given confidence, it can be said that the sample proportion of males ages 18-64 who say they C. With the given confidence, it can be said that the population proportion of males ages 18-64 who say Vhich interval is wider? have gone to the dentist in the past year is between the endpoints of the given confidence interval they have gone to the dentist in the past year is between the endpoints of the given confidence interval The 90% confidence interval The 95% confidence interval

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

90% confidence interval results:

95% confidence interval results:

Hence,

90% confidence interval: (0.571, 0.633)

95% confidence interval: (0.565, 0.639)

Interpretation: Option C is correct.

95% confidence interval is wider.

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 398 661 0.602118 0.01903782 0.57080358 0.63343243

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