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 accom significance level, test the claim that injuries are independent of helmet color. Color of Helmet White Yellow 331 32 Red Black 482 Blue Controls (not injured) 159 100 Cases (injured or 211 109 8 65 47 killed) Click here to view the chi-square distribution table

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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.
D
Black
Color of Helmet
Yellow
32
Blue
White
331
Controls (not injured)
Red
159
482
100
Cases (injured or
211
109
8
65
47
killed)
Click here to view the chi-square distribution table.
Identify the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: Whether a crash occurs and helmet color are dependent
H₁: Whether a crash occurs and helmet color are independent
OB. Ho: Injuries and helmet color are dependent
H₁: Injuries and helmet color are independent
OC. Ho: Whether a crash occurs and helmet color are independent
H₁: Whether a crash occurs and helmet color are dependent
O D. Ho: Injuries and helmet color are independent
H₁: Injuries 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?
Ho. There
sufficient evidence to warrant rejection of the claim that injuries are independent of helmet color.
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. D Black Color of Helmet Yellow 32 Blue White 331 Controls (not injured) Red 159 482 100 Cases (injured or 211 109 8 65 47 killed) Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Whether a crash occurs and helmet color are dependent H₁: Whether a crash occurs and helmet color are independent OB. Ho: Injuries and helmet color are dependent H₁: Injuries and helmet color are independent OC. Ho: Whether a crash occurs and helmet color are independent H₁: Whether a crash occurs and helmet color are dependent O D. Ho: Injuries and helmet color are independent H₁: Injuries 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? Ho. There sufficient evidence to warrant rejection of the claim that injuries are independent of helmet color.
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