question archive Suppose a survey of 240 college students finds that 147 say they are not getting enough sleep construct a 95% confidence interval for the proportions of college students who are not getting enough sleep what is the upper end of the confidence interval answer as a decimal round at least 3 decimals  

Suppose a survey of 240 college students finds that 147 say they are not getting enough sleep construct a 95% confidence interval for the proportions of college students who are not getting enough sleep what is the upper end of the confidence interval answer as a decimal round at least 3 decimals  

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Suppose a survey of 240 college students finds that 147 say they are not getting enough sleep construct a 95% confidence interval for the proportions of college students who are not getting enough sleep

what is the upper end of the confidence interval answer as a decimal round at least 3 decimals

 

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Sample population; p = 147 / 240 = 0.6125

Sample size; n = 240

95% confidence interval; CI = p +- Z * Sqrt( p * (1 - p) / n)

Lower bound = 0.6125 - 1.96 * Sqrt( 0.6125 * (1 - 0.6125) / 240) = 0.550863304 = 0.551

Upper bound = 0.6125 + 1.96 * Sqrt( 0.6125 * (1 - 0.6125) / 240) = 0.674136696 = 0.674

upper end of the confidence interval is 0.67