Central Limit Theorem (CLT) for Sample Proportion

Suppose a simple random sample of size n is to be taken from a large population (more than ten times larger than the sampel size or a process) in which the true proportion (or probability) possessing the attribute of interest is . The sampling distribution of the sample proportion is approximately normal with mean equal to and standard deviation equal to

[Note: This normal approximation becomes more and more accurate as the sample size n increases and is generally considered to be valid as long as n >10 and n(1-) > 10.]