Suppose we test H0: p = .3 versus Ha: ≠ .3 and that a random sample of n = 100 gives a sample proportion p-bar = .20.
a. Test H0 versus Ha at the .01 level of significance by using critical values. What do you conclude?
b. Find the p-value for this test.
c. Use the p-value to test H0 versus Ha by setting a equal to .10, .05, .01, and .001. What do you conclude at each value of α?