When the hypothesized proportion is close to 0.50,the spread in the sampling distribution of p is greater than when the hypothesized proportion is close to 0.0 or 1.0.

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When the hypothesized proportion is close to 0.50, the distribution is more spread out because there is more uncertainty in the estimate. When the hypothesized proportion is close to 0.0 or 1.0, the distribution is more concentrated around that value because there is less variability in the data.

When the Hypothesized Proportion Is Close to 0