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 1168753: 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.
90% confidence; n = 360, x = 110
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Answer by math_tutor2020(3817) About Me  (Show Source):
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At 90% confidence, the z critical value is about z = 1.645; this value you'll need to look up in a table found in the back of your book. You can also use a calculator.

phat = sample proportion
phat = x/n
phat = 110/360
phat = 0.30556

E = margin of error
E = z*sqrt(phat*(1-phat)/n)
E = 1.645*sqrt(0.30556*(1-0.30556)/360)
E = 0.039937
E = 0.0399