Answered: Outcome Total Weight Loss No-Weight…

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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Question

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.

Expert Solution

Step 1

(f)

The hypothesis is,

Null hypothesis:

$H_{0} :$ The variables weight and the exercise program are independent.

Alternative hypothesis:

$H_{1} :$ 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	$\frac{38 \times 76}{200} = 14.44$	$\frac{162 \times 76}{200} = 61.56$	76
Male	$\frac{38 \times 124}{200} = 23.56$	$\frac{124 \times 162}{200} = 100.44$	124
Total	38	162	200

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