A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets wom by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.05 significance level, test the claim that injuries are independent of helmet color Color of Helmet Black 499 219 White Yellow Red Blue Controls (not injured) Cases (injured or killed) 30 111 67 44 Click here to view the chi-square distribution table Identify the null and alternative hypotheses. Choose the correct answer below. O A. Hg: Injuries and helmet color are independent H: Injuries and helmet color are dependent O B. Ho: Injuries and helmet color are dependent H: Injuries and helmet color are independent OC. Ho: Whether a crash occurs and helmet color are dependent H: Whether a crash occurs and helmet color are independent OD. Hg: Whether a crash occurs and helmet color are independent H: Whether a crash occurs and helmet color are dependent Compute the test statistic. (Round to three decimal places as needed.) Find the critical value(s) (Round to three decimal places as needed. Use a comma to separate answers as needed) What is the conclusion based on the hypothesis test? H. There V sufficient evidence to warrant rejection of the claim that injuries are independent of helmet color.
A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets wom by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.05 significance level, test the claim that injuries are independent of helmet color Color of Helmet Black 499 219 White Yellow Red Blue Controls (not injured) Cases (injured or killed) 30 111 67 44 Click here to view the chi-square distribution table Identify the null and alternative hypotheses. Choose the correct answer below. O A. Hg: Injuries and helmet color are independent H: Injuries and helmet color are dependent O B. Ho: Injuries and helmet color are dependent H: Injuries and helmet color are independent OC. Ho: Whether a crash occurs and helmet color are dependent H: Whether a crash occurs and helmet color are independent OD. Hg: Whether a crash occurs and helmet color are independent H: Whether a crash occurs and helmet color are dependent Compute the test statistic. (Round to three decimal places as needed.) Find the critical value(s) (Round to three decimal places as needed. Use a comma to separate answers as needed) What is the conclusion based on the hypothesis test? H. There V sufficient evidence to warrant rejection of the claim that injuries are independent of helmet color.
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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For the last part, the options are:
fail to reject OR reject; is OR is not.
Thanks!
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 0.05 significance level, test the claim that injuries are independent of helmet color.
Color of Helmet
White
Black
Yellow
Red
Blue
Controls (not injured)
Cases (injured or
killed)
499
361
30
160
91
219
111
7
67
44
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
H1: Injuries and helmet color are dependent
O B. Ho: Injuries and helmet color are dependent
H1: Injuries and helmet color are independent
O C. Ho: Whether a crash occurs and helmet color are dependent
H1: Whether a crash occurs and helmet color are independent
O D. Ho: Whether a crash occurs and helmet color are independent
H1: Whether a crash occurs and helmet color are dependent
Compute the test statistic.
(Round to three decimal places as needed.)
Find the
value(s).
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
What is the conclusion based on the hypothesis test?
Ho. There
V sufficient evidence to warrant rejection of the claim that injuries are independent of helmet color.
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