A Sample of 25 cities have been classified as high or low on their homicide rates and on the number of handguns sold within the city limits. What is the Chi-Square?
A Sample of 25 cities have been classified as high or low on their homicide rates and on the number of handguns sold within the city limits. What is the Chi-Square?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A Sample of 25 cities have been classified as high or low on their homicide rates and on the number of handguns sold within the city limits. What is the Chi-Square?
Transcribed Image Text:### Analysis of Handgun Sales and Homicide Rates
#### Table 1: Volume of Handgun Sales vs. Homicide Rate
This table examines the relationship between the volume of handgun sales and the homicide rate, categorized into "Low" and "High" for both variables.
| Volume of Handgun Sales | Homicide Rate | TOTALS |
|------------------------|--------------|--------|
| High | Low: 8 | High: 5 | 13 |
| Low | Low: 4 | High: 8 | 12 |
| **TOTALS** | **12** | **13** | **25** |
- **High Volume of Handgun Sales:** 8 instances with low homicide rates and 5 with high homicide rates.
- **Low Volume of Handgun Sales:** 4 instances with low homicide rates and 8 with high homicide rates.
- **Total Observations:** 25, with 12 low and 13 high homicide rates.
#### Table 2: Statistical Analysis
This table provides the observed (fo) and expected (fe) frequencies, along with calculations necessary for chi-square analysis.
| | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| fo | 8 | 4 | 5 | 8 | |
| fe | 6.24 | 5.76 | 6.76 | 6.24 | |
| fo-fe | | | | | |
| (fo-fe)² | | | | | |
| (fo-fe)²/fe | | | | | |
- **fo (Observed Frequency):** Values observed in the dataset for different categories.
- **fe (Expected Frequency):** Calculated based on statistical analysis to determine what would be expected if there were no association between variables.
- Subsequent columns represent the deviations and their squared values, used in chi-square calculations.
This analysis provides insights into whether a statistical relationship exists between handgun sales volume and homicide rates.
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