SOLUTION: Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of er

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Question 1055205: Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places.
95% confidence; n = 420, x = 150

Thank you !!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places.
95% confidence; n = 420, x = 150
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Note: p = x/n = 150/420 = 0.357 ; q = 1-p = 0.643
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ME = z*sqrt[p*q/n]
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ME = 1.96*sqrt[0.357*0.643/420] = 0.0458
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Cheers,
Stan H.
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