Which of the following statements about the sampling distribution of the sample proportion is TRUE?
A)it is approximately normal, so long as n $\pi$ 5 and n(1 - $\pi$) 5
B)it is centered on the population proportion $\pi$
C)it has standard deviation equal to the square root of $\pi$(1- $\pi$)/n.
D)b and c only
E)all of the above

Question

Which of the following statements about the sampling distribution of the sample proportion is TRUE?
A)it is approximately normal, so long as n $\pi$ > 5 and n(1 -  $\pi$) > 5
B)it is centered on the population proportion  $\pi$
C)it has standard deviation equal to the square root of  $\pi$(1- $\pi$)/n.
D)b and c only
E)all of the above

Quizplus · Accepted Answer

The correct statements are: A) the sampling distribution of the sample proportion is approximately normal under the condition that both np and n(1-p) are greater than 5, B) it is indeed centered on the population proportion (p), and C) its standard deviation is the square root of p(1-p)/n. Therefore, all of the statements A, B, and C are true, making E the correct choice.

Which of the Following Statements About the Sampling Distribution of the Sample