For any population proportion p,the sampling distribution of will be approximately normal if the sample size n is sufficiently large.As a general guideline,the normal distribution approximation is justified when and .

Question

For any population proportion p,the sampling distribution of  will be approximately normal if the sample size n is sufficiently large.As a general guideline,the normal distribution approximation is justified when  and  .

Quizplus · Accepted Answer

The central limit theorem states that the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the underlying population distribution. As a general guideline, a sample size of at least 30 is considered large enough to justify the normal distribution approximation. Therefore, option A is true.

For Any Population Proportion P,the Sampling Distribution of Will