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Under what circumstances does the sampling distribution of the proportion approximately follow the normal distribution?

Under what circumstances does the sampling distribution of the proportion approximately follow the normal distribution?

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Answer #1

The sampling distribution of p is approximately normally distributed if N is fairly large and π is not close to 0 or 1. A rule of thumb is that the approximation is good if both N π and N(1 - π) are both greater than 10.

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