Is the racial distribution for students on work-study different from the racial distribution for students not on work-study? The results of a recent study are shown below. Frequencies of Race for Students On and Not On Work-Study Black Hispanic Asian 53 White Other Work Study Not Work Study 96 44 78 28 82 66 108 86 32 R vector Data: 96,82,44,66,78,108,53,86,28,32 Contingency Table What can be concluded at the a = 0.05 significance level a. What is the corect statistical test to use? Select an answer v b. What are the null and alternative hypotheses? Но: Select an answer H1: Select an answer c. The test-statistic for this data = (Please show your answer to three decimal places.)
Is the racial distribution for students on work-study different from the racial distribution for students not on work-study? The results of a recent study are shown below. Frequencies of Race for Students On and Not On Work-Study Black Hispanic Asian 53 White Other Work Study Not Work Study 96 44 78 28 82 66 108 86 32 R vector Data: 96,82,44,66,78,108,53,86,28,32 Contingency Table What can be concluded at the a = 0.05 significance level a. What is the corect statistical test to use? Select an answer v b. What are the null and alternative hypotheses? Но: Select an answer H1: Select an answer c. The test-statistic for this data = (Please show your answer to three decimal places.)
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:The image presents a statistical analysis problem regarding whether the racial distribution for students on work-study programs is different from those not on work-study. The provided data is presented in a contingency table showing frequencies across different racial categories:
**Frequencies of Race for Students On and Not On Work-Study:**
| | White | Black | Hispanic | Asian | Other |
|-----------------|-------|-------|----------|-------|-------|
| **Work Study** | 96 | 44 | 78 | 53 | 28 |
| **Not Work Study** | 82 | 66 | 108 | 86 | 32 |
**R vector Data:** 96, 82, 44, 66, 78, 108, 53, 86, 28, 32
**Statistical Analysis Questions:**
1. **What can be concluded at the α = 0.05 significance level?**
- **a. What is the correct statistical test to use?**
- There is a drop-down menu to select the appropriate statistical test.
- **b. What are the null and alternative hypotheses?**
- **H₀** (Null Hypothesis): Selection of answers from a drop-down menu.
- **H₁** (Alternative Hypothesis): Selection of answers from a drop-down menu.
- **c. The test-statistic for this data is _____ (Please show your answer to three decimal places.)**
- A space is provided for input of the test statistic.
The task involves using the contingency table to conduct an appropriate statistical test, likely a Chi-square test for independence, to determine if there is a significant difference in racial distribution between students on work-study and those not on work-study. The result from this test will help in drawing conclusions at the 0.05 significance level.
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