# 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)   (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? --------- n = [z/E]^2*pq ---- n = [1.96/0.04]^2*0.54*0.46 --- n = 597 when rounded up =============================== Cheers, Stan H. ================