Random samples of size 525 are taken from a process (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 error of the proportion is given by the formula:

SE = sqrt(p*q/n)

where p is the population proportion (0.3), q = 1-p (0.7), and n is the sample size (525).

Plugging in the values, we get:

SE = sqrt(0.3*0.7/525) = 0.0200

Therefore, the standard deviation of the sample proportions is 0.0200, which corresponds to choice D.

Random Samples of Size 525 Are Taken from a Process