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

Question

Quizplus · Accepted Answer

The sample proportion $\tilde{ p }$ is an unbiased estimator of the population proportion p, and its variance decreases as the sample size n increases, making it consistent.

The Sample Proportion p~\tilde{ p }p~​ Is a Consistent Estimator of the Population Proportion P Because

The Sample Proportion $\tilde{ p }$ Is a Consistent Estimator of the Population Proportion P Because