Random samples of size 100 are taken from an infinite population whose population proportion is 0.2. The mean and standard deviation of the sample proportion are
A)0.2 and .04
B)0.2 and 0.2
C)20 and .04
D)20 and 0.2

Question

Quizplus · Accepted Answer

The mean of the sample proportion is equal to the population proportion, which is 0.2. The standard deviation of the sample proportion is calculated using the formula sqrt(p(1-p)/n), where p is the population proportion and n is the sample size. Here, it is sqrt(0.2*0.8/100) = 0.04.

Random Samples of Size 100 Are Taken from an Infinite