SOLUTION: A report states that 44% of home owners have a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 4

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Question 441918: A report states that 44% of home owners have a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 4 percentage with 92% confidence?
(Please help!! I need to see how to solve this answer. Thanks.)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A report states that 44% of home owners have a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 4 percentage with 92% confidence?
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Since E = z*sqrt(pq/n)
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n = [z/E}^2*(pq)
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n = [1.7507/0.04]^2(0.44*0.56)
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n = 472 when rounded up
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Cheers,
Stan H.