If the standard error of the sampling distribution of a sample proportion is 0.02049 for samples of size 500, then the population proportion must be either:
A) 0.2 or 0.8.
B) 0.3 or 0.7.
C) 0.6 or 0.4.
D) 0.15 or 0.85.

Question

Quizplus · Accepted Answer

The standard error (SE) of a sample proportion is calculated using the formula SE = sqrt[(p(1-p))/n], where p is the population proportion and n is the sample size. Given SE = 0.02049 and n = 500, solving for p gives approximately 0.3 or 0.7.

If the Standard Error of the Sampling Distribution of a Sample