The governing assembly of a large religious denomination must vote on its policy statement regarding the use of mind-altering substances. A preliminary survey of 175 assembly delegates yields the following results. RURAL URBAN SUBURBAN FAVOR 18 45 33 ОРPOSE 10 25 18 NO OPINION 9 7 10 Do the delegate groups (rural, urban, and suburban) have different opinions regarding the use of mind-altering substances? (Use a = .05)

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identify the null and alternative hypothesis, find the critical value and identify the rejection region, calculate chi-square, decide whether to accept or reject the null hypothesis, and write an APA format results statement.

**Voting Results on the Use of Mind-Altering Substances**

The governing assembly of a large religious denomination must vote on its policy statement regarding the use of mind-altering substances. A preliminary survey of 175 assembly delegates yields the following results:

|                  | RURAL | URBAN | SUBURBAN |
|------------------|-------|-------|----------|
| **FAVOR**        |   18  |   45  |    33    |
| **OPPOSE**       |   10  |   25  |    18    |
| **NO OPINION**   |   9   |   7   |    10    |

The table shows the distribution of opinions across three groups: Rural, Urban, and Suburban delegates. 

- **Favor**: 
  - Rural: 18 delegates
  - Urban: 45 delegates
  - Suburban: 33 delegates

- **Oppose**: 
  - Rural: 10 delegates
  - Urban: 25 delegates
  - Suburban: 18 delegates

- **No Opinion**: 
  - Rural: 9 delegates
  - Urban: 7 delegates
  - Suburban: 10 delegates

The survey aims to determine if there are significant differences in opinions regarding the use of mind-altering substances among the delegate groups (Rural, Urban, and Suburban). This requires a statistical test at the 0.05 significance level (\(\alpha = 0.05\)).
Transcribed Image Text:**Voting Results on the Use of Mind-Altering Substances** The governing assembly of a large religious denomination must vote on its policy statement regarding the use of mind-altering substances. A preliminary survey of 175 assembly delegates yields the following results: | | RURAL | URBAN | SUBURBAN | |------------------|-------|-------|----------| | **FAVOR** | 18 | 45 | 33 | | **OPPOSE** | 10 | 25 | 18 | | **NO OPINION** | 9 | 7 | 10 | The table shows the distribution of opinions across three groups: Rural, Urban, and Suburban delegates. - **Favor**: - Rural: 18 delegates - Urban: 45 delegates - Suburban: 33 delegates - **Oppose**: - Rural: 10 delegates - Urban: 25 delegates - Suburban: 18 delegates - **No Opinion**: - Rural: 9 delegates - Urban: 7 delegates - Suburban: 10 delegates The survey aims to determine if there are significant differences in opinions regarding the use of mind-altering substances among the delegate groups (Rural, Urban, and Suburban). This requires a statistical test at the 0.05 significance level (\(\alpha = 0.05\)).
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