The article “Poll Finds Most Oppose Return to Draft, Wouldn’t Encourage Children to Enlist” (Associated Press, December 18, 2005) reports that in a random sample of 1,000 American adults, 700 indicated that they oppose the reinstatement of a military draft. Suppose you want to use this information to decide if there is convincing evidence that the proportion of American adults who oppose reinstatement of the draft is greater than two-thirds.
a. What hypotheses should be tested in order to answer this question?
b. The P-value for this test is 0.013. What conclusion would you reach if α = 0.05?