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In a survey of 662 males ages​ 18-64, 397 say they have gone to the dentist...

In a survey of 662 males ages​ 18-64, 397 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

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Answer #1

Sample proportion = 397/662 = 0.5997

Margin of error for 90% Interval = 0,59971 0,5997) 662 1.645

= 0.0313

90% Interval

(0.5997-0.0313, 0.5997+0.0313)

= (0.568, 0.631)

Confidence Interval for 95%

Margin of error for 95% Interval = 0,59971 0,5997) 662 1.960

= 0.0373

95% Interval

(0.5997-0.0373, 0.5997+0.0373)

= (0.562, 0.637)

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