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
icon
Related questions
Question
**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.
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.
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman