A smaller N is required to use the normal approximation if P = 0.60 than if P = 0.80.

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Quizplus · Accepted Answer

This is because the normal distribution becomes more symmetric as the probability approaches 0.50, which is the mean of the distribution. As P moves further away from 0.50, the distribution becomes more skewed and requires a larger N for the normal approximation to be accurate. Therefore, since P = 0.80 is further from 0.50 than P = 0.60, it requires a larger sample size for the normal approximation to be reliable.

A Smaller N Is Required to Use the Normal Approximation