Based on these tables, would you accept or reject the hypothesis that individuals in bad neighborhoods commit more crime?
Based on these tables, would you accept or reject the hypothesis that individuals in bad neighborhoods commit more crime?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Based on these tables, would you accept or reject the hypothesis that individuals in bad neighborhoods commit more crime?

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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