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In a survey of 650 males ages​ 18-64, 392 say they have gone to the dentist...

In a survey of 650 males ages​ 18-64, 392 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.

Math   Statistics-And-Probability   
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Answer #1

Sample proportion () = 0.603
Sample size (n) = 650
Confidence interval(in %) = 90
z @ 90% = 1.645
Since we know that

Required confidence interval = (0.603-0.0316, 0.603+0.0316)
Required confidence interval = (0.5714, 0.6346)
Confidence interval(in %) = 95
z @ 95% = 1.96
Since we know that

Required confidence interval = (0.603-0.0376, 0.603+0.0376)
Required confidence interval = (0.5654, 0.6406)
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