Margin of Error for Difference in Proportions

Question

Independent random samples of sizes $n_1 = 400$ and $n_2 = 600$ are used to estimate the difference between two population proportions, $p_1$ and $p_2$. If the margin of error for a 95% confidence interval for $p_1 - p_2$ must not exceed 0.04, which of the following conditions must be met?

Accepted Answer

p1(1-p1)/400 + p2(1-p2)/600 ≤ 0.0004

Answer

p1(1-p1) + p2(1-p2) ≤ 0.0004

Answer

p1 - p2 ≤ 0.04

Answer

p1(1-p1)/400 + p2(1-p2)/600 ≤ 0.04

Margin of Error for Difference in Proportions

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