In a survey of 628 males ages 18-64, 394 say they have gone to the dentist in th

ID: 3049588 • Letter: I

Question

In a survey of 628 males ages 18-64, 394 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 not 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 between the endpoints of the given confidence interval. Which interval is wider? The 90% confidence interval The 95% confidence interval

Explanation / Answer

Standard error of the mean = SEM = x(N-x)/N3 = 0.019

= (1-CL)/2 = 0.050

Standard normal deviate for = Z = 1.645

Proportion of positive results = P = x/N = 0.627

Lower bound = P - (Z*SEM) = 0.596

Upper bound = P + (Z*SEM) = 0.659

Standard error of the mean = SEM = x(N-x)/N3 = 0.019

= (1-CL)/2 = 0.025

Standard normal deviate for = Z = 1.960

Proportion of positive results = P = x/N = 0.627

Lower bound = P - (Z*SEM) = 0.590

Upper bound = P + (Z*SEM) = 0.665

c)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 between the endpoints of the given confidence interval.

d) 95% interval is wider than 90% interval

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In a survey of 638 males ages 18-64, 394 say they have gone to the dentist in th

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In a survey of 628 males ages 18-64, 394 say they have gone to the dentist in th

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