The mean of the sampling distribution of the sample proportion, ,when the sample size n = 100 and the population proportion p = 0.03,is 0.03.

Question

The mean of the sampling distribution of the sample proportion,  ,when the sample size n = 100 and the population proportion p = 0.03,is 0.03.

Quizplus · Accepted Answer

This statement is true. According to the Central Limit Theorem, when the sample size is sufficiently large, the sampling distribution of the sample proportion will be approximately normal with a mean equal to the population proportion. In this case, the population proportion is given as p=0.03, and when the sample size is n=100, the mean of the sampling distribution of the sample proportion will be 0.03.

The Mean of the Sampling Distribution of the Sample Proportion