What is the test statistic? (#1 – #2) – (41 – µ2) OF Ot ta (T1 – ã2) – (41 – µ2) (P1 – P2) – (P1 – p2) Ot = (n – 1)² . s² +
What is the test statistic? (#1 – #2) – (41 – µ2) OF Ot ta (T1 – ã2) – (41 – µ2) (P1 – P2) – (P1 – p2) Ot = (n – 1)² . s² +
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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![The image presents a series of equations used to determine different statistical test statistics. Here's a transcription and description for educational purposes:
**What is the test statistic?**
1. \( \bigcirc \, F = \frac{s_1^2}{s_2^2} \)
2. \( \bigcirc \, t_d = \frac{\bar{x} - \mu_d}{s_d / \sqrt{n}} \)
3. \( \bigcirc \, z = \frac{(\bar{x}_1 - \bar{x}_2) - (\mu_1 - \mu_2)}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}}} \)
4. \( \bigcirc \, t = \frac{\bar{x} - \mu}{s / \sqrt{n}} \)
5. \( \bigcirc \, z = \frac{\hat{p} - p}{\sqrt{\frac{p \cdot q}{n}}} \)
6. \( \bigcirc \, t = \frac{(\bar{x}_1 - \bar{x}_2) - (\mu_1 - \mu_2)}{\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}} \)
7. \( \bigcirc \, t = \frac{(\bar{x}_1 - \bar{x}_2) - (\mu_1 - \mu_2)}{\sqrt{\frac{\hat{p} \cdot \hat{q}}{n_1} + \frac{\hat{p} \cdot \hat{q}}{n_2}}} \)
8. \( \bigcirc \, z = \frac{\bar{x} - \mu}{\sigma / \sqrt{n}} \)
9. \( \bigcirc \, z = \frac{(\hat{p}_1 - \hat{p}_2) - (p_1 - p_2)}{\sqrt{\frac{\hat{p} \cdot \hat{q}}{n_1} + \frac{\hat{p} \cdot \hat{q}}{n_2}}} \)
10. \( \bigcirc \, \chi^2 = \frac{](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9076e7a-57c1-402a-997f-53718f1a9a67%2F1f4aeb5f-81a4-49ea-ab54-9571685e0898%2Fb8yanxi_processed.png&w=3840&q=75)
Transcribed Image Text:The image presents a series of equations used to determine different statistical test statistics. Here's a transcription and description for educational purposes:
**What is the test statistic?**
1. \( \bigcirc \, F = \frac{s_1^2}{s_2^2} \)
2. \( \bigcirc \, t_d = \frac{\bar{x} - \mu_d}{s_d / \sqrt{n}} \)
3. \( \bigcirc \, z = \frac{(\bar{x}_1 - \bar{x}_2) - (\mu_1 - \mu_2)}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}}} \)
4. \( \bigcirc \, t = \frac{\bar{x} - \mu}{s / \sqrt{n}} \)
5. \( \bigcirc \, z = \frac{\hat{p} - p}{\sqrt{\frac{p \cdot q}{n}}} \)
6. \( \bigcirc \, t = \frac{(\bar{x}_1 - \bar{x}_2) - (\mu_1 - \mu_2)}{\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}} \)
7. \( \bigcirc \, t = \frac{(\bar{x}_1 - \bar{x}_2) - (\mu_1 - \mu_2)}{\sqrt{\frac{\hat{p} \cdot \hat{q}}{n_1} + \frac{\hat{p} \cdot \hat{q}}{n_2}}} \)
8. \( \bigcirc \, z = \frac{\bar{x} - \mu}{\sigma / \sqrt{n}} \)
9. \( \bigcirc \, z = \frac{(\hat{p}_1 - \hat{p}_2) - (p_1 - p_2)}{\sqrt{\frac{\hat{p} \cdot \hat{q}}{n_1} + \frac{\hat{p} \cdot \hat{q}}{n_2}}} \)
10. \( \bigcirc \, \chi^2 = \frac{
![**Research Study on Helping Behavior**
A study examines the behavior of two groups regarding their likelihood to help others in need:
- **Group 1:** Out of 1000 individuals who attend religious services at least once a week, 31 stopped to help a person with car trouble.
- **Group 2:** Out of 1200 individuals who do not attend religious services at least once a month, 22 stopped to help a person with car trouble.
The objective is to test the claim that the proportion of people who help in each group is equal.
**Questions and Concepts:**
1. **How many populations are being compared?**
- Options:
- \( \circ \) 2
- \( \circ \) 1
2. **What is the parameter being tested?**
- Options:
- \( \circ \) Variance
- \( \circ \) Proportion
- \( \circ \) Mean
- \( \circ \) Difference between Means
- \( \circ \) Standard Deviation
Understanding these questions and the analysis involved will help in evaluating the differences or similarities in behaviors between these distinct groups.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9076e7a-57c1-402a-997f-53718f1a9a67%2F1f4aeb5f-81a4-49ea-ab54-9571685e0898%2F2vqbefr_processed.png&w=3840&q=75)
Transcribed Image Text:**Research Study on Helping Behavior**
A study examines the behavior of two groups regarding their likelihood to help others in need:
- **Group 1:** Out of 1000 individuals who attend religious services at least once a week, 31 stopped to help a person with car trouble.
- **Group 2:** Out of 1200 individuals who do not attend religious services at least once a month, 22 stopped to help a person with car trouble.
The objective is to test the claim that the proportion of people who help in each group is equal.
**Questions and Concepts:**
1. **How many populations are being compared?**
- Options:
- \( \circ \) 2
- \( \circ \) 1
2. **What is the parameter being tested?**
- Options:
- \( \circ \) Variance
- \( \circ \) Proportion
- \( \circ \) Mean
- \( \circ \) Difference between Means
- \( \circ \) Standard Deviation
Understanding these questions and the analysis involved will help in evaluating the differences or similarities in behaviors between these distinct groups.
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