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

Quizplus · Accepted Answer

When the hypothesized proportion is close to 0.50, the distribution is more spread out because it is farther away from a perfect distribution where each outcome is equally likely (i.e. 0.0 or 1.0). This results in more variability in the sample proportion, leading to a larger standard error and a wider sampling distribution.

When the Hypothesized Proportion Is Close to 0