Suppose that you're testing the hypotheses H0: p = .30 vs. HA: p ≠ .30. A sample of size 500 results in sample proportion of .25.
a. Estimate the standard deviation of sample proportion?
b. Compute the value of the z statistic.
c. Find out the P-value associated with this z statistic.
d. Discuss your conclusion at α = .05.