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, 430 answered yes to the following question: “If the military draft were reinstated, would you favor drafting women as well as men?” The data were used to test H0: p = 0.5 versus Ha: p < 0.5, and the null hypothesis was rejected.
a. Based on the result of the hypothesis test, what can you conclude about the proportion of American adults who favor drafting women if a military draft were reinstated?
b. Is it reasonable to say that the data provide strong support for the alternative hypothesis?
c. Is it reasonable to say that the data provide strong evidence against the null hypothesis?