SOLUTION: In a survey of 8000 ​women, 5431 say they change their nail polish once a week. Construct a 99% confidence interval for the population proportion of women who change their na

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Question 1043431: In a survey of 8000 ​women, 5431 say they change their nail polish once a week. Construct a 99% confidence interval for the population proportion of women who change their nail polish once a week.
A 99% confidence interval for the population proportion is? Round to three decimal places as​ needed

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
In a survey of 8000 ​women, 5431 say they change their nail polish once a week. Construct a 99% confidence interval for the population proportion of women who change their nail polish once a week.
A 99% confidence interval for the population proportion is? Round to three decimal places as​ needed
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p-hat = 5431/8000 = 0.679
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ME = 2.5758*sqrt[0.679*0.321/8000] = 0.013
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99%CI:: 0.679-0.013 < p < 0.679+0.013
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Cheers,
Stan H.
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