Random samples of size 525 are taken from an infinite population whose population proportion is 0.3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is
A)0.0004
B)0.2100
C)0.3000
D)0.0200

Question

Quizplus · Accepted Answer

The standard deviation of the sample proportions (i.e., the standard error of the proportion) is given by the formula sqrt(pq/n), where p is the population proportion, q is the complementary proportion (q = 1-p), and n is the sample size. Plugging in the values, we get sqrt(0.3*0.7/525) = 0.0199, which rounds up to 0.0200. Therefore, the best choice is D.

Random Samples of Size 525 Are Taken from an Infinite