Which of the following best describes the form of the sampling distribution of the sample proportion?
A)When standardized, it is exactly the standard normal distribution.
B)When standardized, it is the t distribution.
C)It is approximately normal as long as n 30.
D)It is approximately normal as long as np 5 and n(1-p) 5.

Question

Which of the following best describes the form of the sampling distribution of the sample proportion?
A)When standardized, it is exactly the standard normal distribution. 
B)When standardized, it is the t distribution. 
C)It is approximately normal as long as n 30. 
D)It is approximately normal as long as np 5 and n(1-p) 5.

Quizplus · Accepted Answer

The sampling distribution of the sample proportion is approximately normal when np >= 5 and n(1-p) >= 5. This is known as the rule of thumb for the normal approximation to the binomial distribution. Therefore, choice D is the best answer.

Which of the Following Best Describes the Form of the Sampling