MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Given screenshot is the outcome of an exercise program.

Use Chi-square analysis to understand Male Weight Loss by joining the Exercise Program. Assume the Critical Value of 3.84.

### Analysis of Exercise Program Outcomes

The table represents the outcomes of an exercise program, divided by gender and weight loss results:

| Exercise | Outcome | Total |
|----------|---------|-------|
|          | Weight Loss | No-Weight Loss |  |
| Female   | 28          | 48             |  |
| Male     | 10          | 114            |  |
| Total    | 38          | 162            |  |

---

**Objective:**
Use Chi-square analysis to understand male weight loss by joining the exercise program.

**Assumptions:**
- Critical Value: 3.84

**Instructions:**
1. Analyze the data using the Chi-square test to determine if the observed weight loss in males is statistically significant.
2. Compare the calculated Chi-square value with the critical value to draw conclusions.

Consider how a successful exercise program should impact each gender and what the results imply for program adjustments or recommendations.
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Transcribed Image Text:### Analysis of Exercise Program Outcomes The table represents the outcomes of an exercise program, divided by gender and weight loss results: | Exercise | Outcome | Total | |----------|---------|-------| | | Weight Loss | No-Weight Loss | | | Female | 28 | 48 | | | Male | 10 | 114 | | | Total | 38 | 162 | | --- **Objective:** Use Chi-square analysis to understand male weight loss by joining the exercise program. **Assumptions:** - Critical Value: 3.84 **Instructions:** 1. Analyze the data using the Chi-square test to determine if the observed weight loss in males is statistically significant. 2. Compare the calculated Chi-square value with the critical value to draw conclusions. Consider how a successful exercise program should impact each gender and what the results imply for program adjustments or recommendations.
Expert Solution
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Step 1

(f)

The hypothesis is,

Null hypothesis:

H0: The variables weight and the exercise program are independent.

Alternative hypothesis:

H1: The variables weight and the exercise program are dependent.

The row totals and column totals are,

  Weight Loss No-weight loss Total
Female 28 48 76
Male 10 114 124
Total 38 162 200

The expected values are,

  Weight Loss No-weight loss Total
Female 38×76200=14.44 162×76200=61.56 76
Male 38×124200=23.56 124×162200=100.44 124
Total 38 162 200
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