As a general rule, the sampling distribution of the sample proportions can be approximated by a normal probability distribution whenever _____.
A) np ≥ 5
B) n(1 − p) ≥ 5
C) n ≥ 30
D) np ≥ 5 and n(1 − p) ≥ 5

Question

Quizplus · Accepted Answer

The best choice is D because it includes both np ≥ 5 and n(1-p) ≥ 5, which are the minimum requirements for a normal approximation to the sampling distribution of sample proportions. The other choices (A, B, and C) do not include both of these requirements.

As a General Rule, the Sampling Distribution of the Sample