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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?

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Answer:

The sample is 1759

Explanation:[tex]\begin{gathered} n=(\frac{z}{ME})^2pq=(\frac{2.576}{0.03})^2\times0.4\times0.6 \\ \\ =1759 \end{gathered}[/tex]

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