If the standard error of the sampling distribution of the sample proportion is 0.0229 for samples of size 400,then the population proportion must be either:
A)0.4 or 0.6
B)0.5 or 0.5
C)0.2 or 0.8
D)0.3 or 0.7

Question

Quizplus · Accepted Answer

The standard error (SE) of the sample proportion is calculated as sqrt[p(1-p)/n]. Given SE = 0.0229 and n = 400, solving for p gives approximately 0.3 or 0.7.

If the Standard Error of the Sampling Distribution of the Sample