1. What is the independent and what is the dependent variable, and the total sample size? 2. Calculate the cell percentages. 3. Calculate the expected frequencies for each cell in the table. 4. Test the Null Hypothesis. If you reject the Null hypothesis run the correct measure of association to report the strength of the relationship between the two variables.

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**Analysis of Sentencing and Defendant Race**

The data below explores the potential relationship between the type of sentence received by defendants and their race. This study was conducted on 260 defendants within a local jurisdiction.

**Table: Type of Sentence Received by Race of Defendant**

| Type of Sentence Received | White | Black | Other | Total |
|---------------------------|-------|-------|-------|-------|
| Jail Only                 | 10    | 25    | 18    | 53    |
| Fine and Jail             | 20    | 37    | 28    | 85    |
| Probation                 | 24    | 30    | 20    | 74    |
| Community Service         | 16    | 18    | 14    | 48    |
| **Total**                 | 70    | 110   | 80    | 260   |

**Explanation:**

- **Jail Only:** Out of 53 defendants, 10 were White, 25 were Black, and 18 were from other racial groups.
- **Fine and Jail:** Of the 85 defendants given this sentence, 20 were White, 37 were Black, and 28 belonged to other racial categories.
- **Probation:** This type of sentence was issued to 74 defendants, comprising 24 White, 30 Black, and 20 others.
- **Community Service:** Among the 48 sentenced, 16 were White, 18 were Black, and 14 were from other groups.

The total number of defendants in this study was 260, distributed as 70 White, 110 Black, and 80 from other racial groups. This data serves as a basis for hypothesis testing on racial disparity in sentencing.
Transcribed Image Text:**Analysis of Sentencing and Defendant Race** The data below explores the potential relationship between the type of sentence received by defendants and their race. This study was conducted on 260 defendants within a local jurisdiction. **Table: Type of Sentence Received by Race of Defendant** | Type of Sentence Received | White | Black | Other | Total | |---------------------------|-------|-------|-------|-------| | Jail Only | 10 | 25 | 18 | 53 | | Fine and Jail | 20 | 37 | 28 | 85 | | Probation | 24 | 30 | 20 | 74 | | Community Service | 16 | 18 | 14 | 48 | | **Total** | 70 | 110 | 80 | 260 | **Explanation:** - **Jail Only:** Out of 53 defendants, 10 were White, 25 were Black, and 18 were from other racial groups. - **Fine and Jail:** Of the 85 defendants given this sentence, 20 were White, 37 were Black, and 28 belonged to other racial categories. - **Probation:** This type of sentence was issued to 74 defendants, comprising 24 White, 30 Black, and 20 others. - **Community Service:** Among the 48 sentenced, 16 were White, 18 were Black, and 14 were from other groups. The total number of defendants in this study was 260, distributed as 70 White, 110 Black, and 80 from other racial groups. This data serves as a basis for hypothesis testing on racial disparity in sentencing.
1. What is the independent and what is the dependent variable, and the total sample size?

2. Calculate the cell percentages.

3. Calculate the expected frequencies for each cell in the table.

4. Test the Null Hypothesis. If you reject the Null hypothesis run the correct measure of association to report the strength of the relationship between the two variables.
Transcribed Image Text:1. What is the independent and what is the dependent variable, and the total sample size? 2. Calculate the cell percentages. 3. Calculate the expected frequencies for each cell in the table. 4. Test the Null Hypothesis. If you reject the Null hypothesis run the correct measure of association to report the strength of the relationship between the two variables.
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