SOLUTION: A report states that 54% of home owners had 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 470533: A report states that 54% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 4% with 95% confidence?
Answer by stanbon(57323) About Me  (Show Source):
You can put this solution on YOUR website!
A report states that 54% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 4% with 95% confidence?
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n = [z/E]^2*pq
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n = [1.96/0.04]^2*0.54*0.46
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n = 597 when rounded up
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Cheers,
Stan H.
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