Which of the following statements is true regarding the sampling distribution of sample proportion ?
A) The mean of the sampling distribution will equal the population proportion p.
B) The sampling distribution will be approximately normal provided that np 5 and nq 5.
C) An increase in the sample size n will result in a decrease in the standard error of.
D) All of these.
E) None of these.

Question

Which of the following statements is true regarding the sampling distribution of sample proportion  ?
A) The mean of the sampling distribution will equal the population proportion p. 
B) The sampling distribution will be approximately normal provided that np > 5 and nq > 5. 
C) An increase in the sample size n will result in a decrease in the standard error of. 
D) All of these. 
E) None of these.

Quizplus · Accepted Answer

A) True, as the mean of the sampling distribution of sample proportion is equal to the population proportion p.
B) Approximately true, as long as np > 5 and nq > 5, the sampling distribution will be approximately normal by the central limit theorem.
C) True, as increasing the sample size n will result in a decrease in the standard error of the sample proportion. 
Therefore, all of these statements are true regarding the sampling distribution of sample proportion.

Which of the Following Statements Is True Regarding the Sampling