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Suppose we test H0 : p = .3 versus Ha : p ≠ .3 and that a random sample of n = 100 gives a sample proportion p = .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 α equal to .10, .05, .01, and .001. What do you conclude at each value of a?

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