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) Cases (injured or killed) 488 213 367 28 161 95 114 7 68 46 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. A. Ho: Injuries and helmet color are independent H,: Injuries and helmet color are dependent OB. Ho: Whether a crash occurs and helmet color are dependent H: Whether a crash occurs and helmet color are independent 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 independent H,: Whether a crash occurs and helmet color are dependent Compute the test statistic. (Round to three decimal places as needed.)

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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.
Color of Helmet
Black
White
Yellow
Red
Blue
Controls (not injured)
Cases (injured or
killed)
488
367
28
161
95
213
114
7
68
46
Click here to view the chi-square distribution table.
Identify the null and alternative hypotheses. Choose the correct answer below.
OA. Ho: Injuries and helmet color are independent
H: Injuries and helmet color are dependent
O B. Ho: Whether a crash occurs and helmet color are dependent
H1: Whether a crash occurs and helmet color are independent
O C. 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 independent
H,: Whether a crash occurs and helmet color are dependent
Compute the test statistic.
(Round to three decimal places as needed.)
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) Cases (injured or killed) 488 367 28 161 95 213 114 7 68 46 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: Injuries and helmet color are independent H: Injuries and helmet color are dependent O B. Ho: Whether a crash occurs and helmet color are dependent H1: Whether a crash occurs and helmet color are independent O C. 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 independent H,: Whether a crash occurs and helmet color are dependent Compute the test statistic. (Round to three decimal places as needed.)
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