The Central Limit Theorem indicates that the sampling distribution of the sample proportion can be approximated by a normal distribution if np 5 and nq 5.

Question

The Central Limit Theorem indicates that the sampling distribution of the sample proportion  can be approximated by a normal distribution if np > 5 and nq > 5.

Quizplus · Accepted Answer

The Central Limit Theorem states that the sampling distribution of a sample proportion will be approximately normally distributed if the sample size is large enough (n≥30) or if both np and nq are greater than or equal to 5. Therefore, if np>5 and nq>5, the sampling distribution of the sample proportion can be approximated by a normal distribution.

The Central Limit Theorem Indicates That the Sampling Distribution of the Sample