SOLUTION: A college believes that 28% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents

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Question 526489: A college believes that 28% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents who have remarried to within 6 percentage points with 95% confidence?
Answer by stanbon(75887) About Me  (Show Source):
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A college believes that 28% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents who have remarried to within 6 percentage points with 95% confidence?
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n = [z/E]^2*p*q
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n = [1.96/0.06]^2*0.28*0.72
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n = 216 when rounded up
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Cheers,
Stan H.