When a survey question asked, "Do you believe in heaven?" and "Do you believe in hell?", 830 subjects answered "yes" to both questions, 161 answered "no" to both, 122 answered "yes" to heaven but "no" to hell, and 3 answered "no" to heaven but "yes" to hell. Complete parts a through e below. UA. Each variable could be used to explain the results of the other variable. OB. Each variable could be the outcome of interest, and the distribution of responses across the entire population could be studied. C. Each variable could be the outcome of interest, and how it depends on the other could be studied. D. Each variable could be the outcome of interest, and how they depend on a third variable could be studied. b. Display the data as a contingency table, labeling the variables and the categories. Do you believe in heaven? Yes Do you believe in hell? Yes No Total 830 122 952 Do you believe in hell? Yes No No 3 161 164 c. Find the conditional proportions that treat opinion about heaven as the response variable and opinion about hell as the explanatory variable. Interpret. Do you believe in heaven? Yes No Interpret. Choose the correct answer below. Total 833 283 1116 0.004 0.569 0.996 0.431 (Round to three decimal places as needed.) Total 1 1 O A. Those who believe in hell are more likely to believe in heaven than those who do not believe in hell. OB. Those who believe in hell are less likely to believe in heaven than those who do not believe in hell. C. Those who believe in heaven are more likely to believe in hell than those who do not believe in heaven. D. Those who believe in heaven are less likely to believe in hell than those who do not believe in heaven.

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