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 Yellow Red Blue White 372 Controls (not injured) Cases (injured or killed) 493 29 167 207 109 71 30 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. A. Hg: Injuries and helmet color are independent H: Injuries and helmet color are dependent O B. Hg: Whether a crash occurs and helmet color are independent H,: Whether a crash occurs and helmet color are dependent OC. Hg: Whether a crash occurs and helmet color are dependent H: Whether a crash occurs and helmet color are independent O D. Hg: Injuries and helmet color are dependent H;: Injuries and helmet color are independent Compute the test statistic. (Round to three decimal places as needed.)

Question
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
Yellow
Red
Blue
White
372
Controls (not injured)
Cases (injured or
killed)
493
29
167
207
109
71
30
Click here to view the chi-square distribution table.
Identify the null and alternative hypotheses. Choose the correct answer below.
A. Hg: Injuries and helmet color are independent
H: Injuries and helmet color are dependent
O B. Hg: Whether a crash occurs and helmet color are independent
H,: Whether a crash occurs and helmet color are dependent
OC. Hg: Whether a crash occurs and helmet color are dependent
H: Whether a crash occurs and helmet color are independent
O D. Hg: Injuries and helmet color are dependent
H;: Injuries and helmet color are independent
Compute the test statistic.
(Round to three decimal places as needed.)
Expand
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 Yellow Red Blue White 372 Controls (not injured) Cases (injured or killed) 493 29 167 207 109 71 30 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. A. Hg: Injuries and helmet color are independent H: Injuries and helmet color are dependent O B. Hg: Whether a crash occurs and helmet color are independent H,: Whether a crash occurs and helmet color are dependent OC. Hg: Whether a crash occurs and helmet color are dependent H: Whether a crash occurs and helmet color are independent O D. Hg: Injuries and helmet color are dependent H;: Injuries and helmet color are independent Compute the test statistic. (Round to three decimal places as needed.)

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