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. Resul are given in the accompanying table. Using a 0.05 significance level, test the claim that injuries are independent of helmet color. Color of Helmet D Black White Yellow Red 484 340 35 153 202 105 65 8 Controls (not injured) Cases (injured or 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 O C. Ho: Injuries and helmet color are independent H₁: Injuries and helmet color are dependent O D. Ho: Whether a crash occurs and helmet color are independent H₁: Whether a crash occurs and helmet color are dependent Compute the test statistic. Blue 103 50 (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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11.7

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 0.05 significance level, test the claim that injuries are independent of helmet color.
Color of Helmet
Black White
484
340
202
105
Controls (not injured)
Cases (injured
or killed)
Click here to view the chi-square distribution table.
Yellow
35
8
B. Ho: Injuries and helmet color are dependent
H₁: Injuries and helmet color are independent
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
C. Ho: Injuries and helmet color are independent
H₁: Injuries and helmet color are dependent
Compute the test statistic.
Red
153
65
D. Ho: Whether a crash occurs and helmet color are independent
H₁: Whether a crash occurs and helmet color are dependent
(Round to three decimal places as needed.)
Find the critical value(s).
Blue
103
50
(Round to three decimal places as needed. Use a comma to separate answers 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 0.05 significance level, test the claim that injuries are independent of helmet color. Color of Helmet Black White 484 340 202 105 Controls (not injured) Cases (injured or killed) Click here to view the chi-square distribution table. Yellow 35 8 B. Ho: Injuries and helmet color are dependent H₁: Injuries and helmet color are independent 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 C. Ho: Injuries and helmet color are independent H₁: Injuries and helmet color are dependent Compute the test statistic. Red 153 65 D. Ho: Whether a crash occurs and helmet color are independent H₁: Whether a crash occurs and helmet color are dependent (Round to three decimal places as needed.) Find the critical value(s). Blue 103 50 (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: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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