A sample of 25 observations is taken to estimate a population proportion π. The sampling distribution of sample proportion p is:
A) not normal since n

Question

A sample of 25 observations is taken to estimate a population proportion π. The sampling distribution of sample proportion p 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 p approaches 0.50.

Quizplus · Accepted Answer

The sampling distribution of the sample proportion p is approximately normal if the sample size n and the population proportion π meet the criteria np ≥ 5 and n(1 - π) ≥ 5. This is based on the central limit theorem's application to proportions.

A Sample of 25 Observations Is Taken to Estimate a Population