SOLUTION: A report states that 40% 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 3%
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Question 1086255: A report states that 40% 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 3% with 99% confidence? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! interval is 0.03
2.576*SE is 99% confidence
SE is sqrt (0.4)(0.6) or p(1-p)/n
Therefore,
0.03=2.576* sqrt (0.24/n)
square both sides
0.0009=6.64*0.24/n
0.0009n=1.59. I haven't rounded, but dividing now by 0.0009 gives n=1769.54, or 1770.
