If the standard error of the sampling distribution of the sample proportion is 0.0324 for samples of size 200, then the population proportion must be 0.30.

Question

If the standard error of the sampling distribution of the sample proportion  is 0.0324 for samples of size 200, then the population proportion must be 0.30.

Quizplus · Accepted Answer

The standard error formula for sample proportion is SE = sqrt[(p*(1-p))/n]. We know SE = 0.0324 and n = 200. So, we can solve for p by rearranging the formula: p = SE^2*n = (0.0324)^2*200 = 0.04194. Therefore, the population proportion is not necessarily 0.30.

If the Standard Error of the Sampling Distribution of the Sample