If the standard error of the sampling distribution of the sample proportion is 0.02049 for samples of size 500, then the population proportion must be either:
A) 0.2 or 0.8
B) 0.5 or 0.5
C) 0.3 or 0.7
D) 0.6 or 0.4
E) 0.2 or 0.5

Question

Quizplus · Accepted Answer

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

If the Standard Error of the Sampling Distribution of the Sample