A sample of 25 observations is taken from an infinite population. The sampling distribution of is A)not normal since n 30 and n(1- P) 30

Question

A sample of 25 observations is taken from an infinite population. The sampling distribution of  is
A)not normal since n < 30 
B)approximately normal because is always normally distributed 
C)approximately normal if np 5 and n(1-
P) 5 
D)approximately normal if np > 30 and n(1-
P) > 30

Quizplus · Accepted Answer

The sampling distribution of proportions can be approximated by a normal distribution if np ≥ 5 and n(1-P) ≥ 5. Therefore, choice C is the best option as it includes these criteria. The other choices either do not mention these criteria or include incorrect information.

A Sample of 25 Observations Is Taken from an Infinite