Based on these tables, would you accept or reject the hypothesis that individuals in bad neighborhoods commit more crime?

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Based on these tables, would you accept or reject the hypothesis that individuals in bad neighborhoods commit more crime?

### T-Test Analysis Results

#### Group Statistics

The table labeled "Group Statistics" presents descriptive statistics for two groups, identified as "Good Nhood" and "Bad Nhood" in terms of a variable named "crime":

| Group    | N   | Mean   | Std. Deviation | Std. Error Mean |
|----------|-----|--------|----------------|-----------------|
| Good Nhood | 391 | 1.6087 | 2.31003        | .11682          |
| Bad Nhood  | 184 | 1.9293 | 2.66743        | .19665          |

- **N**: Number of cases in each group.
- **Mean**: The average score of the "crime" variable for each group.
- **Std. Deviation**: The standard deviation of the "crime" scores, indicating variability within each group.
- **Std. Error Mean**: The standard error of the mean, showing how much the sample mean is expected to vary from the true population mean.

#### Independent Samples Test

This section shows the results of independent t-tests which compare the means of the "crime" variable between "Good Nhood" and "Bad Nhood" groups:

##### Levene’s Test for Equality of Variances
This test checks if the variances of the two groups are equal:
  
| Levene's Test | F     | Sig. | 
|---------------|-------|------|
|               | 2.585 | .108 |

- **F**: Levene's test statistic.
- **Sig.**: Significance value (p-value). Here, the p-value is .108, which is greater than the standard alpha level of 0.05, indicating that we do not reject the null hypothesis that the variances are equal.

##### T-test for Equality of Means
This section tests whether the means of the two groups are statistically different:
  
|                                | t       | df        | Sig. (2-tailed) | Mean Difference | Std. Error Difference | 95% Confidence Interval of the Difference |
|--------------------------------|---------|-----------|-----------------|-----------------|-----------------------|-----------------------------------------|
| **Equal variances assumed**    | -1.476  | 573       | .140            | -.32065         | .21723                | -.74372                                 | .10602                                 |
| **Equal variances not assumed**|
Transcribed Image Text:### T-Test Analysis Results #### Group Statistics The table labeled "Group Statistics" presents descriptive statistics for two groups, identified as "Good Nhood" and "Bad Nhood" in terms of a variable named "crime": | Group | N | Mean | Std. Deviation | Std. Error Mean | |----------|-----|--------|----------------|-----------------| | Good Nhood | 391 | 1.6087 | 2.31003 | .11682 | | Bad Nhood | 184 | 1.9293 | 2.66743 | .19665 | - **N**: Number of cases in each group. - **Mean**: The average score of the "crime" variable for each group. - **Std. Deviation**: The standard deviation of the "crime" scores, indicating variability within each group. - **Std. Error Mean**: The standard error of the mean, showing how much the sample mean is expected to vary from the true population mean. #### Independent Samples Test This section shows the results of independent t-tests which compare the means of the "crime" variable between "Good Nhood" and "Bad Nhood" groups: ##### Levene’s Test for Equality of Variances This test checks if the variances of the two groups are equal: | Levene's Test | F | Sig. | |---------------|-------|------| | | 2.585 | .108 | - **F**: Levene's test statistic. - **Sig.**: Significance value (p-value). Here, the p-value is .108, which is greater than the standard alpha level of 0.05, indicating that we do not reject the null hypothesis that the variances are equal. ##### T-test for Equality of Means This section tests whether the means of the two groups are statistically different: | | t | df | Sig. (2-tailed) | Mean Difference | Std. Error Difference | 95% Confidence Interval of the Difference | |--------------------------------|---------|-----------|-----------------|-----------------|-----------------------|-----------------------------------------| | **Equal variances assumed** | -1.476 | 573 | .140 | -.32065 | .21723 | -.74372 | .10602 | | **Equal variances not assumed**|
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