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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
icon
Related questions
Topic Video
Question

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**|
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning