Report a Chi-Square test of Independence and use a 5% significance level. Explain the potential error in words, in context. Group of answer choices We would be accepting that there was an association between Recidivism and Treatment, when there was none. We would not be accepting that there was an association between Recidivism and Treatment, when there was indeed none. We would be not accepting that there was an association between Recidivism and Treatment, when there actually was one. We would be accepting that there was an asso

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RECIDIVISM

Report a Chi-Square test of Independence and use a 5% significance level.

Explain the potential error in words, in context.

Group of answer choices
We would be accepting that there was an association between Recidivism and Treatment, when there was none.
We would not be accepting that there was an association between Recidivism and Treatment, when there was indeed none.
We would be not accepting that there was an association between Recidivism and Treatment, when there actually was one.
We would be accepting that there was an association between Recidivism and Treatment, when there was indeed one.
**Recidivism and Treatment Influence**

The table below presents data on recidivism, measured by the re-arrest of individuals who have committed at least one previous offense. We aim to explore whether the type of treatment received influences the recidivism rate. (Recidivism refers to a return to criminal behavior.)

**Data Source:** "Statistics for Experimenters" by Box Hunter Hunter.

| **Observed Counts**        | **Treatment Received** |                |                |        |  **Total** |
|----------------------------|-----------------------|----------------|----------------|--------|----------|
|                            | **No Psychotherapy** | **Individual Therapy** | **Group Therapy** |        |          |
| **Recidivism Rate**        |                       |                |                |        |          |
| Never back in prison       | 12                    | 9              | 20             |        | 41       |
| Back in prison within one year | 24                    | 41             | 10             |        | 75       |
| Back in prison in 1-10 years   | 25                    | 32             | 13             |        | 70       |
| **Total**                  | 61                    | 82             | 43             |        | 186      |

This table categorizes recidivism rates based on the type of treatment: No Psychotherapy, Individual Therapy, and Group Therapy, helping us assess the potential impact of these treatments on preventing re-offending behavior.
Transcribed Image Text:**Recidivism and Treatment Influence** The table below presents data on recidivism, measured by the re-arrest of individuals who have committed at least one previous offense. We aim to explore whether the type of treatment received influences the recidivism rate. (Recidivism refers to a return to criminal behavior.) **Data Source:** "Statistics for Experimenters" by Box Hunter Hunter. | **Observed Counts** | **Treatment Received** | | | | **Total** | |----------------------------|-----------------------|----------------|----------------|--------|----------| | | **No Psychotherapy** | **Individual Therapy** | **Group Therapy** | | | | **Recidivism Rate** | | | | | | | Never back in prison | 12 | 9 | 20 | | 41 | | Back in prison within one year | 24 | 41 | 10 | | 75 | | Back in prison in 1-10 years | 25 | 32 | 13 | | 70 | | **Total** | 61 | 82 | 43 | | 186 | This table categorizes recidivism rates based on the type of treatment: No Psychotherapy, Individual Therapy, and Group Therapy, helping us assess the potential impact of these treatments on preventing re-offending behavior.
The image presents three vertical bar graphs comparing the likelihood of re-incarceration among inmates who underwent different therapeutic interventions: no psychotherapy, individual therapy, and group therapy. Each bar graph is divided into three sections, indicating the percentage of inmates in each category:

1. **No Psychotherapy:**
   - **Never back in prison:** 30% (represented in green)
   - **Back in prison within one year:** 20% (no color)
   - **Back in prison in 1-10 years:** 50% (represented in yellow)

2. **Individual Therapy:**
   - **Never back in prison:** 60% (represented in green)
   - **Back in prison within one year:** 10% (no color)
   - **Back in prison in 1-10 years:** 30% (represented in yellow)

3. **Group Therapy:**
   - **Never back in prison:** 70% (represented in green)
   - **Back in prison within one year:** 10% (no color)
   - **Back in prison in 1-10 years:** 20% (represented in yellow)

The data suggests that group therapy is associated with the lowest rate of re-incarceration, followed by individual therapy, and then no psychotherapy.

*© 2020 Radha Bose Florida State University Department of Statistics*
Transcribed Image Text:The image presents three vertical bar graphs comparing the likelihood of re-incarceration among inmates who underwent different therapeutic interventions: no psychotherapy, individual therapy, and group therapy. Each bar graph is divided into three sections, indicating the percentage of inmates in each category: 1. **No Psychotherapy:** - **Never back in prison:** 30% (represented in green) - **Back in prison within one year:** 20% (no color) - **Back in prison in 1-10 years:** 50% (represented in yellow) 2. **Individual Therapy:** - **Never back in prison:** 60% (represented in green) - **Back in prison within one year:** 10% (no color) - **Back in prison in 1-10 years:** 30% (represented in yellow) 3. **Group Therapy:** - **Never back in prison:** 70% (represented in green) - **Back in prison within one year:** 10% (no color) - **Back in prison in 1-10 years:** 20% (represented in yellow) The data suggests that group therapy is associated with the lowest rate of re-incarceration, followed by individual therapy, and then no psychotherapy. *© 2020 Radha Bose Florida State University Department of Statistics*
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