Question

A sample of size 100 is selected from a population with p = .40. Use z-table. a. What is the expected value of p? b. What is the standard error of P (to 3 decimals)? c. Show the sampling distribution of p. Normal distribution with E(P) = 11 and og d. What does the sampling distribution of p show? It shows the probability distribution for the Select

Answer 1

a. The expected value of the $\bar{p}$ is $E(\bar{p})=p=0.40$

b. The standard error of $\bar{p}$ is , $SE(\bar{p})=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.40(1-0.40)}{100}}=0.049$

c. Normal distribution with $E(\bar{p})=0.40$ and $\sigma_{\bar{p}}=0.049$

d. It shown the probability distribution for the normal distribution.