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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.

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) 478 348 29 169 95 Cases (injured or 207 106 70 45 killed) Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. H: Whether a crash occurs and helmet color are independent Hy: Whether a crash occurs and helmet color are dependent O B. Ho: Whether a crash occurs and helmet color are dependent Hy: Whether a crash occurs and helmet color are independent O C. Ho: Injuries and helmet color are independent Hy: Injuries and helmet color are dependent O D. Ho: Injuries and helmet color are dependent Hy: Injuries and helmet color are independent Compute the test statistic. (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.) 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.i Chi-square distribution table X Area to the Right of the Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 GOONOOPON 0.001 0.004 0.016 2.706 0.010 0.020 0.051 0.103 0.211 4.605 0.072 0.115 0.216 0.352 0.584 6.251 0.207 0.297 0.484 0.711 1.064 7.779 0.412 0.554 0.831 1.145 1.610 9.236 0.676 0.872 1.237 1.635 2.204 10.645 0.989 1.239 1.690 2.167 2.833 12.017 1.344 1.646 2.180 2.733 3.490 13.362 1.735 2.088 2.700 3.325 4.168 14.684 2.156 2.558 3.247 3.940 4.865 15.987 Print Done