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A case-control (or retrospective) study was conducted to investigate a relationship between th ...
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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. Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. A. \( \mathrm{H}_{0} \) : Injuries and helmet color are dependent \( \mathrm{H}_{1} \) : Injuries and helmet color are independent B. \( \mathrm{H}_{0} \) : Whether a crash occurs and helmet color are independent \( \mathrm{H}_{1} \) : Whether a crash occurs and helmet color are dependent C. \( \mathrm{H}_{0} \) : Whether a crash occurs and helmet color are dependent \( \mathrm{H}_{1} \) : Whether a crash occurs and helmet color are independent D. \( \mathrm{H}_{0} \) : Injuries and helmet color are independent \( \mathrm{H}_{1} \) : Injuries and helmet color are dependent
Chi-square distribution table
For correct null and alternative hypothesis , option (D) is correct that is To test the hypothesis we use chi-square test for independency. In question, we have a 5x2 contingency table and degrees of freedom = (5-1)*(2-1) = 4*1 = 4. first we creat a