Suppose that a population parameter is 0.2, and many samples are taken from the population. As the size of each sample increases, the mean of the sample proportions would approach which of the following values?

A. 0.2
B. 0.1
C. 0.3
D. 0.4

Question

Suppose that a population parameter is 0.2, and many samples are taken from the population. As the size of each sample increases, the mean of the sample proportions would approach which of the following values?

A. 0.2
B. 0.1
C. 0.3
D. 0.4

perl · Answer

The mean of the sample proportions should approach the population proportion, as the sampe size gets large. This makes intuitive sense, since you are sampling more of the population. The population proportion itself is a 'sample' where n = N , the size of the population

kj4uts · Answer

@perl would it be A. 0.2 - sample mean approaches population mean