Question

The use of the normal probability distribution as an approximation of the sampling distribution of p̄ is based on the condition that both np and n(1 – p) equal or exceed _____.

a. .05
b. 5
c. 15
d. 30

Answer 1

Actually the proportion of every possible sample proportions is roughly normally
distributed with the mean "μ denoted with p" = p and standard deviation "σ denoted with p" = √(pq ÷ n) if and only if (np ≥ 5 and n(1-p) ≥ 5).

Answer:

b. 5