In a survey of 644 males ages 18-64, 391 say they have gone to the dentist in th

Question

In a survey of 644 males ages 18-64, 391 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% confiden e 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. A. With the given confidence, it can be said that the population proportion of males ages 0 B. With the given confidence, it can be said that the sample proportion of males ages O C. With the given confidence, it can be said that the opulation 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. 18-64 who say they have gone to the dentist in the past year is between the endpoints of the given confidence interval. 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? O The 90% confidence interval The 95% confidence interval Click to select your answer(s). esc : FI F2 F3 F4 FS

Explanation / Answer

here sample proportion p=391/644=0.607

std error =(p(1-p)/n)1/2 =0.0192

for 90% CI ; z =1.6445

tehrefore 90% confidence interval for population proportion =sample proportion -/+ z*Std error =0.575 ; 0.639

for 95% CI ; z =1.96

tehrefore 90% confidence interval for population proportion =sample proportion -/+ z*Std error =0.569 ; 0.645

option C is correct.

the 95% confidence interval is wider

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