A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance level, test the claim that injuries are independent of helmet color. Color of Helmet Black White Yellow Red Controls (not injured) Cases (injured or killed) Blue 103 50 29 8 466 336 165 203 109 70 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Injuries and helmet color are independent H: Injuries and helmet color are dependent O B. H: Whether a crash occurs and helmet color are independent H: Whether a crash occurs and helmet color are dependent OC. Ho: Injuries and helmet color are dependent H: Injuries and helmet color are independent O D. Ho: Whether a crash occurs and helmet color are dependent H,: Whether a crash occurs and helmet color are independent Compute the test statistic. (Round to three decimal places as needed.) Find the critical value(s).
A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance level, test the claim that injuries are independent of helmet color. Color of Helmet Black White Yellow Red Controls (not injured) Cases (injured or killed) Blue 103 50 29 8 466 336 165 203 109 70 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Injuries and helmet color are independent H: Injuries and helmet color are dependent O B. H: Whether a crash occurs and helmet color are independent H: Whether a crash occurs and helmet color are dependent OC. Ho: Injuries and helmet color are dependent H: Injuries and helmet color are independent O D. Ho: Whether a crash occurs and helmet color are dependent H,: Whether a crash occurs and helmet color are independent Compute the test statistic. (Round to three decimal places as needed.) Find the critical value(s).
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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Transcribed Image Text:**Hypothesis Test Conclusion**
**Question:**
What is the conclusion based on the hypothesis test?
**Answer:**
There is sufficient evidence to warrant rejection of the claim that injuries are independent of helmet color.
In this context, the null hypothesis (\(H_0\)) posits that injuries are independent of helmet color. The conclusion reflects a decision to reject this null hypothesis based on the collected data and the hypothesis test analysis.

### Identify the null and alternative hypotheses. Choose the correct answer below.
- A. \( H_0 \): Injuries and helmet color are independent
\( H_1 \): Injuries and helmet color are dependent
- B. \( H_0 \): Whether a crash occurs and helmet color are independent
\( H_1 \): Whether a crash occurs and helmet color are dependent
- C. \( H_0 \): Injuries and helmet color are dependent
\( H_1 \): Injuries and helmet color are independent
- D. \( H_0 \): Whether a crash occurs and helmet color are dependent
\( H_1 \): Whether a crash occurs and helmet color are independent
### Compute the test statistic.
- [ ] (Round to three decimal places as needed.)
### Find the critical value(s).
- [ ]
### Explanation of Table
The table provided shows the distribution of motorcycle helmet colors among two groups: those not injured (controls) and those injured or killed (cases). This data will be used to perform a chi-square test to determine if there is a statistically significant relationship between helmet color and injury outcome. Each column represents a different helmet color, and the rows divide the data into individuals who were controls or cases.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d1239aa-d77b-4fd4-9256-17d7501a8b6d%2F8c484e1a-ac78-460d-a5b6-5d0734560348%2Fzj5c5f_processed.png&w=3840&q=75)
Transcribed Image Text:A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance level, test the claim that injuries are independent of helmet color.
### Color of Helmet
| | Black | White | Yellow | Red | Blue |
|------------------|-------|-------|--------|-----|------|
| Controls (not injured) | 466 | 336 | 29 | 165 | 103 |
| Cases (injured or killed) | 203 | 109 | 8 | 70 | 50 |
[Click here to view the chi-square distribution table.](#)
### Identify the null and alternative hypotheses. Choose the correct answer below.
- A. \( H_0 \): Injuries and helmet color are independent
\( H_1 \): Injuries and helmet color are dependent
- B. \( H_0 \): Whether a crash occurs and helmet color are independent
\( H_1 \): Whether a crash occurs and helmet color are dependent
- C. \( H_0 \): Injuries and helmet color are dependent
\( H_1 \): Injuries and helmet color are independent
- D. \( H_0 \): Whether a crash occurs and helmet color are dependent
\( H_1 \): Whether a crash occurs and helmet color are independent
### Compute the test statistic.
- [ ] (Round to three decimal places as needed.)
### Find the critical value(s).
- [ ]
### Explanation of Table
The table provided shows the distribution of motorcycle helmet colors among two groups: those not injured (controls) and those injured or killed (cases). This data will be used to perform a chi-square test to determine if there is a statistically significant relationship between helmet color and injury outcome. Each column represents a different helmet color, and the rows divide the data into individuals who were controls or cases.
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