The sample proportion is a consistent estimator of the population proportion p because it is unbiased and the variance of is p(1- p) / n, which grows smaller as n grows larger.

Question

The sample proportion  is a consistent estimator of the population proportion p because it is unbiased and the variance of  is p(1- p) / n, which grows smaller as n grows larger.

Quizplus · Accepted Answer

The statement is true because the sample proportion is an unbiased estimator of the population proportion and its variance decreases as the sample size increases, making it a consistent estimator.

The Sample Proportion Is a Consistent Estimator of the Population