A random sample of size 100 is taken from a population described by the proportion p = 0.60. What are the expected value and the standard error for the sampling distribution of the sample proportion?
A) 0.006 and 0.0024
B) 0.060 and 0.049
C) 0.600 and 0.0024
D) 0.600 and 0.049

Question

Quizplus · Accepted Answer

The expected value of the sampling distribution of the sample proportion is equal to the population proportion, which is 0.60. The standard error of the sampling distribution of the sample proportion is calculated using the formula $\sqrt{\frac{p(1-p)}{n}}$, where $p = 0.60$ and $n = 100$. This calculation gives $\sqrt{\frac{0.60(0.40)}{100}} = 0.049$.

A Random Sample of Size 100 Is Taken from a Population