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. a. Explain how we could regard either variable (opinion about heaven, opinion about hell) as a response variable. OA. Each variable could be used to explain the results of the other variable. O B. 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 Total 833 283 1116 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 Total (Round to three decimal places as needed.)
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. a. Explain how we could regard either variable (opinion about heaven, opinion about hell) as a response variable. OA. Each variable could be used to explain the results of the other variable. O B. 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 Total 833 283 1116 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 Total (Round to three decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Question 3, 3.1.7
Transcribed Image Text: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.
a. Explain how we could regard either variable (opinion about heaven, opinion about hell) as a response variable.
A. Each variable could be used to explain the results of the other variable.
B. 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
Total
833
283
1116
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
Total
(Round to three decimal places as needed.)
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