A recent survey of practicing Jews, Christians, and Muslims asked these participants’ their opinion concerning prayer in public schools. The possible responses were “Strongly For,” “No Opinion,” or “Strongly Against.” The survey also asked several additional questions, which were used to create a continuous “religiosity” variable designed to indicate the amount of influence an individual’s religion has on his or her daily life.
| Strongly For | Strongly Against | No Opinion |
| 40 | 41 | 7 |
| 88 | 47 | 9 |
| 104 | 42 | 3 |
| 61 | 38 | 8 |
| 45 | 31 | 3 |
| 47 | 42 | 3 |
Conduct a Kruskal–Wallis test to see if there is a significant difference in the religiosity of the response groups. Use a\(\style{font-family:Times New Roman;}{\chi^2}\) approximation. Select the appropriate critical value (CV), test statistic (TS), and decision. (Useα= 0.01.)
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CV = 9.2103, TS = 13.20, rejectH0
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CV = 9.2103, TS = 12.22, rejectH0
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CV = 11.3449, TS = 13.20, rejectH0
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CV = 10.5966, TS = 9.22, fail to rejectH0
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