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 wom 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 Whit Yello Red Blue 81 39 375 108 29 161 67 Controls (not injured) 505 213 Cases (injured or killed) Identify the null and alternative hypotheses. Choose the correct answer below. O A. Hg: Injuries and helmet color are dependent H1: Injuries and helmet color are independent HO: Injuries and helmet color are independent H1: Injuries and helmet color are dependent Ho: whether a crash occurs and helmet color are independent H1: Whether a crash occurs and helmet color are dependent ( B. C. O D. Ho: Whether a crash occurs and helmet color are dependent H1: Whether a crash occurs 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.)

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: var12
Columns: None

Chi-Square test:

Hence,

Hypotheses: Option B is correct.

Test statistic = 11.191

Critica Value = 9.488

Reject; is

Black White Yellow Red Blue Total Controls 505 375 29 161 81 1151 Cases 213 108 7 67 39 434 Total 718 483 36 228 120 1585

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