In which situation may the sample proportion safely be assumed to follow a normal distribution?
A)n = 100, π = .06
B)n = 250, π = .02
C)n = 30, π = .50
D)n = 500, π = .01

Question

Quizplus · Accepted Answer

For a sample proportion to safely follow a normal distribution, both np and n(1-p) should be greater than or equal to 10. In option C, n = 30 and π = .50, so np = 30(.50) = 15 and n(1-p) = 30(.50) = 15, both of which meet the criteria.

In Which Situation May the Sample Proportion Safely Be Assumed