Which of the following best describes the sampling distribution of the sample proportion?
A)The sampling distribution of the sample proportion is always normally distributed.
B)The sampling distribution of the sample proportion is approximately normally distributed provided that np≥ 5 and nq≥ 5.
C)The sampling distribution of the sample proportion is skewed
D)None of these choices are correct.

Question

Quizplus · Accepted Answer

The distribution of the sample proportion will be approximately normally distributed if the sample size is large enough and both np and nq are greater than or equal to 5. This is known as the npq rule. If the sample size is too small or npq<5, the sampling distribution may be skewed. Therefore, option B is the best choice.

Which of the Following Best Describes the Sampling Distribution of the Sample