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 of the sampling distribution of the sample proportion is given by the formula:
SE = sqrt((p(1-p))/n)
where p is the population proportion and n is the sample size.
We can rearrange this formula to solve for p:
p = (SE^2 * n)/(SE^2 * n + 1)
Substituting SE = 0.0324 and n = 200, we get:
p = (0.0324^2 * 200)/(0.0324^2 * 200 + 1) = 0.3419
Therefore, we cannot conclude that the population proportion is 0.30.

If the Standard Error of the Sampling Distribution of the Sample