A case-control (or retrospective) study was conducted to investigate a relations

Question

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 BlackWhite 357 105 Blue 120 57 YellowRed 488 210 160 67 Controls (not injured) 27 Cases (injured or killed) Click here to view the chi-square distribution table ldentify the null and alternative hypotheses. Choose the correct answer below A. Ho: Injuries and helmet color are independent H1: Injuries and helmet color are dependent B. Ho: Whether a crash occurs and helmet color are independent H1: Whether a crash occurs and helmet color are dependent C. Ho: Whether a crash occurs and helmet color are dependent H7: Whether a crash occurs and helmet color are independent D. Ho: Injuries and helmet color are dependent H1: 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

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: var3
Columns: None

Chi-Square test:

Hence,

Hypotheses: Option A is correct.

Test statistic = 10.629

Critical value = 9.488

Reject; is

Black White Yellow Red Blue Total Controls 488 357 27 160 120 1152 Cases 210 105 7 67 57 446 Total 698 462 34 227 177 1598

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