In a survey of 621 males ages 18-64, 396 say they have gone to the dentist in th

Question

In a survey of 621 males ages 18-64, 396 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 intervats The 90% confidence interval for the population proportion p is (O) (Round to three decimal places as needed) The 95% confidence interval for the population proportion pis (Round to three decimal places as needed) Interpret your results of both confidence intervals O A. With the given confidence, it can be said that the population proportion of males age 18-64 who say they have gone to the dentist in the past year is 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 have gone to the dentist in the past year is between the endpoints of the given confidence interval O C. With the given confidence, it can be said that the population proportion of males age 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? O The 90% confidence interval O The 95% confidence interval Cick to select your answers) E O Type here to search on a * 00 E O a & G

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: (0.606, 0.669)

95% confidence interval: (0.600, 0.675)

Interpretation: Option A is correct.

95% confidence interval is wider. Option B is correct.

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 396 621 0.63768116 0.019288633 0.60595418 0.66940814

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