Question: Among the questions asked in the 2000 General Social Survey was the following question: “Would you be willing to pay much higher taxes in order to protect the environment?” Among the data collected for this survey were 369 responses of “yes” and 483 responses of “no”. For purposes of this test question, we are not considering any other responses. Thus the total for our purposes is 852. Let π represent the population proportion who would answer “yes”. Consider the following computer output from the analysis of these data:

a. State the null and alternative hypotheses of this test.

b. What assumptions are being made in the performance of this test?

c. In one sentence, interpret the p-value obtained.

d. Is it plausible that π = 0.50? In one sentence, explain.

e. In 1-2 sentences at most, explain the advantage of the confidence interval shown over the p-value.