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

Question

Quizplus · Accepted Answer

The statement correctly states that the sample proportion is an unbiased estimator of the population proportion and that the variance of the estimator shrinks as the sample size increases, making it a consistent estimator. Therefore, the answer is true.

The Sample Proportion P^\hat { P }P^ Is a Consistent Estimator of the Population Proportion P Because

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