For a given population proportion, the sampling distribution of $\hat { p }$ tends to be more spread out for larger sample sizes than for smaller sample sizes.

Question

Quizplus · Accepted Answer

This statement is false. The sampling distribution of $\hat { p }$ tends to be less spread out for larger sample sizes than for smaller sample sizes. This is because larger sample sizes result in more accurate estimates of the population proportion, which leads to a smaller standard error of the proportion and a narrower sampling distribution.

For a Given Population Proportion, the Sampling Distribution Of p^\hat { p }p^​

For a Given Population Proportion, the Sampling Distribution Of $\hat { p }$