In which situation may the sample proportion safely be assumed to follow a normal distribution?
A)12 successes in a sample of 72 items
B)8 successes in a sample of 40 items
C)6 successes in a sample of 200 items
D)4 successes in a sample of 500 items

Question

Quizplus · Accepted Answer

The sample proportion can be assumed to follow a normal distribution if both np and n(1-p) are greater than or equal to 10. For option A, np = 12 and n(1-p) = 60, both of which are greater than 10.

In Which Situation May the Sample Proportion Safely Be Assumed