Fast forward to post-Covid times: Isabel and I go to San Diego Comic-Con and collect the data using the sampling method described in part b of the previous problem. We ask 500 people whether they believe there is intelligent life on other planets, and 298 of them say yes. Compare these results to the Ipsos poll described in problem 8 to test whether people who attend Comic Con are more likely than the general public to believe there is intelligent life on other planets.

a. Is this a one-sample or two-sample test?

b. Are conditions met to perform the test? Justify your answer. (Note: over 150,000 people typically attend San Diego Comic-Con.)

c. State hypotheses for the test. (Indicate which sample is which.)

d. Perform the test in StatCrunch. Report the test statistic and p-value. (Round to four decimal places.)

e. State your conclusion in the context of the problem. Use a significance level of 0.05.