The article “Euthanasia Still Acceptable to Solid Majority in U.S.” (gallup.com, June 24, 2016, retrieved November 29, 2016) summarized data from a survey of 1025 adult Americans. When asked if doctors should be able to end a terminally ill patient’s life by painless means if requested to do so by the patient, 707 of those surveyed responded yes. For purposes of this exercise, assume that it is reasonable to regard this sample as a random sample of adult Americans. Suppose that you want to use the data from this survey to decide if there is convincing evidence that more than two-thirds of adult Americans believe that doctors should be able to end a terminally ill patient’s life if requested to do so by the patient.

a. What hypotheses should be tested to answer this question?

b. The P-value for this test is 0.058. What conclusions would you reach if α = 0.05?

c. Would you have reached a different conclusion if α = 0.10? Explain.