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

Question

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

Quizplus · Accepted Answer

When the hypothesized proportion is close to 0.50, the sampling distribution will be more spread out because it is harder to distinguish between the hypothesized proportion and the actual proportion. When the hypothesized proportion is close to 0.0 or 1.0, the sampling distribution will be less spread out because it is easier to distinguish between the hypothesized proportion and the actual proportion. Therefore, the statement is true.

When the Hypothesized Proportion Is Close to 0