RECIDIVISM Report a Chi-Square test of Independence and use a 5% significance level. Which of the following is the correct alternative hypothesis? Group of answer choices Ha: Treatment is independent of Recidivism. Ha: There is no association between Recidivism and Treatment. Ha: Treatment is influenced by Recidivism. Ha: Recidivism influences Treatment. Ha: Recidivism depends on Treatment. Ha: Recidivism is independent of Treatment. Ha: Treatment depends on Recidivism.

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RECIDIVISM

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

Which of the following is the correct alternative hypothesis?

Group of answer choices
Ha: Treatment is independent of Recidivism.
Ha: There is no association between Recidivism and Treatment.
Ha: Treatment is influenced by Recidivism.
Ha: Recidivism influences Treatment.
Ha: Recidivism depends on Treatment.
Ha: Recidivism is independent of Treatment.
Ha: Treatment depends on Recidivism.
 
 
 
### Recidivism Rates and Psychotherapy

This bar graph represents the recidivism rates among individuals with different psychotherapy interventions: No Psychotherapy, Individual Therapy, and Group Therapy. The data is presented in three colored sections for each category.

#### Categories Explained:

1. **No Psychotherapy:**
   - **Never back in prison (30%)**: Highlighted in green, this section shows that 30% of the individuals did not return to prison.
   - **Back in prison within one year (10%)**: In blue, this segment represents the 10% who returned to prison within a year.
   - **Back in prison in 1-10 years (60%)**: The yellow section indicates that 60% of individuals were back in prison within 1 to 10 years.

2. **Individual Therapy:**
   - **Never back in prison (40%)**: The green section shows that 40% did not return to prison.
   - **Back in prison within one year (0%)**: There is no blue section, indicating 0% returned within one year.
   - **Back in prison in 1-10 years (60%)**: Represented in yellow, 60% returned within 1 to 10 years.

3. **Group Therapy:**
   - **Never back in prison (80%)**: Highlighted in green, 80% of individuals did not return to prison.
   - **Back in prison within one year (10%)**: The blue section, representing 10%, indicates a return to prison within a year.
   - **Back in prison in 1-10 years (10%)**: The yellow segment shows that 10% went back to prison within 1 to 10 years.

This graph, designed by Radha Bose from the Florida State University Department of Statistics (2020), illustrates that individuals who participated in group therapy had a significantly lower rate of recidivism, both within one year and over a 1 to 10 year period, compared to those who received no therapy or individual therapy.
Transcribed Image Text:### Recidivism Rates and Psychotherapy This bar graph represents the recidivism rates among individuals with different psychotherapy interventions: No Psychotherapy, Individual Therapy, and Group Therapy. The data is presented in three colored sections for each category. #### Categories Explained: 1. **No Psychotherapy:** - **Never back in prison (30%)**: Highlighted in green, this section shows that 30% of the individuals did not return to prison. - **Back in prison within one year (10%)**: In blue, this segment represents the 10% who returned to prison within a year. - **Back in prison in 1-10 years (60%)**: The yellow section indicates that 60% of individuals were back in prison within 1 to 10 years. 2. **Individual Therapy:** - **Never back in prison (40%)**: The green section shows that 40% did not return to prison. - **Back in prison within one year (0%)**: There is no blue section, indicating 0% returned within one year. - **Back in prison in 1-10 years (60%)**: Represented in yellow, 60% returned within 1 to 10 years. 3. **Group Therapy:** - **Never back in prison (80%)**: Highlighted in green, 80% of individuals did not return to prison. - **Back in prison within one year (10%)**: The blue section, representing 10%, indicates a return to prison within a year. - **Back in prison in 1-10 years (10%)**: The yellow segment shows that 10% went back to prison within 1 to 10 years. This graph, designed by Radha Bose from the Florida State University Department of Statistics (2020), illustrates that individuals who participated in group therapy had a significantly lower rate of recidivism, both within one year and over a 1 to 10 year period, compared to those who received no therapy or individual therapy.
**Recidivism and Treatment Data**

Use the information below to answer the RECIDIVISM questions that follow.

The data and segmented bar chart below are "data on recidivism, as measured by re-arrest of persons who have committed at least one previous offense.” We are looking to see if recidivism rate is influenced by the type of treatment received. (Recidivism means a return to criminal behavior.)

*Data from "Statistics for Experimenters” by Box Hunter Hunter.*

| RECIDIVISM RATE         | TREATMENT RECEIVED                |
|-------------------------|-----------------------------------|
| **OBSERVED COUNTS**     | No Psychotherapy | Individual Therapy | Group Therapy | Total |
| 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** |

**Explanation of the Table:**

The table displays observed counts of recidivism rates based on the type of treatment received by individuals who have previously committed offenses. 

- **Categories of Recidivism Rate**:
  - *Never back in prison*: Represents those not re-arrested.
  - *Back in prison within one year*: Represents those re-arrested within a year.
  - *Back in prison in 1-10 years*: Represents those re-arrested within one to ten years.

- **Types of Treatments**:
  - *No Psychotherapy*: No psychological treatment received.
  - *Individual Therapy*: One-on-one psychological treatment.
  - *Group Therapy*: Psychological treatment in a group setting.

- **Totals**: Show overall data for each treatment type and recidivism category.

This data can be used to analyze the influence of different treatments on the likelihood of recidivism.
Transcribed Image Text:**Recidivism and Treatment Data** Use the information below to answer the RECIDIVISM questions that follow. The data and segmented bar chart below are "data on recidivism, as measured by re-arrest of persons who have committed at least one previous offense.” We are looking to see if recidivism rate is influenced by the type of treatment received. (Recidivism means a return to criminal behavior.) *Data from "Statistics for Experimenters” by Box Hunter Hunter.* | RECIDIVISM RATE | TREATMENT RECEIVED | |-------------------------|-----------------------------------| | **OBSERVED COUNTS** | No Psychotherapy | Individual Therapy | Group Therapy | Total | | 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** | **Explanation of the Table:** The table displays observed counts of recidivism rates based on the type of treatment received by individuals who have previously committed offenses. - **Categories of Recidivism Rate**: - *Never back in prison*: Represents those not re-arrested. - *Back in prison within one year*: Represents those re-arrested within a year. - *Back in prison in 1-10 years*: Represents those re-arrested within one to ten years. - **Types of Treatments**: - *No Psychotherapy*: No psychological treatment received. - *Individual Therapy*: One-on-one psychological treatment. - *Group Therapy*: Psychological treatment in a group setting. - **Totals**: Show overall data for each treatment type and recidivism category. This data can be used to analyze the influence of different treatments on the likelihood of recidivism.
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