Which of the following statements is true with respect to the sampling distribution of a proportion?
A) An increase in the sample size will result in a reduction in the size of the standard deviation.
B) As long as the sample size is sufficiently large, the sampling distribution will be approximately normal.
C) The mean of the sampling distribution will equal the population proportion.
D) All of the above are true.

Question

Quizplus · Accepted Answer

All the statements provided are true regarding the sampling distribution of a proportion. An increase in sample size reduces the standard deviation of the sampling distribution, making it narrower. For large sample sizes, the sampling distribution approximates a normal distribution due to the Central Limit Theorem. Additionally, the mean of the sampling distribution is equal to the population proportion, which is a fundamental property of sampling distributions.

Which of the Following Statements Is True with Respect to the Sampling