from a recent General Social Survey, cross-classifies the degree of fundamentalism of subjects’ religious beliefs by their highest degree of education. The table also shows standardized residuals. For these data, X2 = 69.2. Write a report of about 200 words, summarizing description and inference for these data.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
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Table 2.16, from a recent General Social Survey, cross-classifies the degree of fundamentalism of subjects’ religious beliefs by their highest degree of education. The table also shows standardized residuals. For these data, X2 = 69.2. Write a report of about 200 words, summarizing description and inference for these data.
### Table 2.16. Table for Problem 2.23, with Standardized Residuals

This table displays the relationship between individuals' highest attained degrees and their religious beliefs, categorized into three groups: Fundamentalist, Moderate, and Liberal. The table provides both the count of individuals and the standardized residuals for each combination of highest degree and religious beliefs.

#### Highest Degree vs. Religious Beliefs

| Highest Degree          | Fundamentalist | Moderate   | Liberal    |
|-------------------------|----------------|------------|------------|
| Less than high school   | 178 (4.5)      | 138 (-2.6) | 108 (-1.9) |
| High school or junior college | 570 (2.6) | 648 (1.3)  | 442 (-4.0) |
| Bachelor or graduate    | 138 (-6.8)     | 252 (0.7)  | 252 (6.3)  |

#### Explanation of Standardized Residuals
The numbers in parentheses are standardized residuals. These residuals indicate how the observed counts differ from the expected counts under the null hypothesis that the highest degree and religious beliefs are independent. 

- A positive residual indicates that there are more individuals than expected with that combination of highest degree and religious beliefs.
- A negative residual indicates that there are fewer individuals than expected with that combination of highest degree and religious beliefs.

##### Detailed Interpretation:

1. **Individuals with Less than High School Education:**
   - **Fundamentalist:** 178 individuals (Standardized Residual: 4.5)
   - **Moderate:** 138 individuals (Standardized Residual: -2.6)
   - **Liberal:** 108 individuals (Standardized Residual: -1.9)

2. **Individuals with High School or Junior College Education:**
   - **Fundamentalist:** 570 individuals (Standardized Residual: 2.6)
   - **Moderate:** 648 individuals (Standardized Residual: 1.3)
   - **Liberal:** 442 individuals (Standardized Residual: -4.0)

3. **Individuals with Bachelor or Graduate Education:**
   - **Fundamentalist:** 138 individuals (Standardized Residual: -6.8)
   - **Moderate:** 252 individuals (Standardized Residual: 0.7)
   - **
Transcribed Image Text:### Table 2.16. Table for Problem 2.23, with Standardized Residuals This table displays the relationship between individuals' highest attained degrees and their religious beliefs, categorized into three groups: Fundamentalist, Moderate, and Liberal. The table provides both the count of individuals and the standardized residuals for each combination of highest degree and religious beliefs. #### Highest Degree vs. Religious Beliefs | Highest Degree | Fundamentalist | Moderate | Liberal | |-------------------------|----------------|------------|------------| | Less than high school | 178 (4.5) | 138 (-2.6) | 108 (-1.9) | | High school or junior college | 570 (2.6) | 648 (1.3) | 442 (-4.0) | | Bachelor or graduate | 138 (-6.8) | 252 (0.7) | 252 (6.3) | #### Explanation of Standardized Residuals The numbers in parentheses are standardized residuals. These residuals indicate how the observed counts differ from the expected counts under the null hypothesis that the highest degree and religious beliefs are independent. - A positive residual indicates that there are more individuals than expected with that combination of highest degree and religious beliefs. - A negative residual indicates that there are fewer individuals than expected with that combination of highest degree and religious beliefs. ##### Detailed Interpretation: 1. **Individuals with Less than High School Education:** - **Fundamentalist:** 178 individuals (Standardized Residual: 4.5) - **Moderate:** 138 individuals (Standardized Residual: -2.6) - **Liberal:** 108 individuals (Standardized Residual: -1.9) 2. **Individuals with High School or Junior College Education:** - **Fundamentalist:** 570 individuals (Standardized Residual: 2.6) - **Moderate:** 648 individuals (Standardized Residual: 1.3) - **Liberal:** 442 individuals (Standardized Residual: -4.0) 3. **Individuals with Bachelor or Graduate Education:** - **Fundamentalist:** 138 individuals (Standardized Residual: -6.8) - **Moderate:** 252 individuals (Standardized Residual: 0.7) - **
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