Question 3: A recent General Social Survey asked whether they believed in heaven and whether they believed in hell. The 1120 participants were crossclassied according to these two questions. Believe Believe in Hell in Heaven yes no yes 833 125 no 2 16C! (a) We would like to test the hypothesis that the population proportions answering \"yes\" were identical for heaven and hell. Formulate the hypotheses {use a two sided alternative). (b) Give the observed value of the test statistic to test the hypotheses from part (a). Write down the pvalue symbolically. (c) Give a 95% condence interval for the difference between these populations proportions of answering \"yes\