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 Yellow Blue Black 477 200 White 373 Red Controls (not injured) Cases (injured or killed) 165 70 29 60 28 110 7 Click here to view the chi-square distribution table, O A. Ho: Whether a crash occurs and helmet color are dependent H,: Whether a crash occurs and helmet color are independent O B. Ho: Injuries and helmet color are dependent H: Injuries and helmet color are independent

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1. Compute the test statistic.

2. Find the critical value

3. what is the conclusion (fail to reject/reject). There (is/is not) sufficient evidence 

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)
477
373
29
165
60
200
110
7
70
28
Click here to view the chi-square distribution table.
A. Ho: Whether a crash occurs and helmet color are dependent
H1: Whether a crash occurs and helmet color are independent
O B. Ho: Injuries and helmet color are dependent
H4: Injuries and helmet color are independent
C. Ho: Injuries and helmet color are independent
H,: Injuries and helmet color are dependent
D. Ho: Whether a crash occurs and helmet color are independent
H,: Whether a crash occurs and helmet color are dependent
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) 477 373 29 165 60 200 110 7 70 28 Click here to view the chi-square distribution table. A. Ho: Whether a crash occurs and helmet color are dependent H1: Whether a crash occurs and helmet color are independent O B. Ho: Injuries and helmet color are dependent H4: Injuries and helmet color are independent C. Ho: Injuries and helmet color are independent H,: Injuries and helmet color are dependent D. Ho: Whether a crash occurs and helmet color are independent H,: Whether a crash occurs and helmet color are dependent
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