A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worm 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 493 207 Yellow Blue 61 30 White Red Controls (not injured) Cases (injured or killed) 372 109 167 71 29 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 Ho 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 OD. H: Injuries and helmet color are dependent H,: Injuries and helmet color are independent Compute the test statistic 10.354 (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.)

Question
A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worm 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
493
207
Yellow
Blue
61
30
White
Red
Controls (not injured)
Cases (injured or
killed)
372
109
167
71
29
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
Ho 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
OD. H: Injuries and helmet color are dependent
H,: Injuries and helmet color are independent
Compute the test statistic
10.354
(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.)
Expand
Transcribed Image Text

A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worm 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 493 207 Yellow Blue 61 30 White Red Controls (not injured) Cases (injured or killed) 372 109 167 71 29 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 Ho 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 OD. H: Injuries and helmet color are dependent H,: Injuries and helmet color are independent Compute the test statistic 10.354 (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.)

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Advanced Topics in Statistics

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