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In: Statistics and Probability

A​ case-control (or​ retrospective) study was conducted to investigate a relationship between the colors of helmets...

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 Yellow Red Blue Controls​ (not injured) 484 370 34 159 96 Cases​ (injured or​ killed) 213 108 9 68 47 Click here to view the chi-square distribution table.LOADING... Identify the null and alternative hypotheses. Choose the correct answer below. A. Upper H 0​: Injuries and helmet color are independent Upper H 1​: Injuries and helmet color are dependent B. Upper H 0​: Whether a crash occurs and helmet color are independent Upper H 1​: Whether a crash occurs and helmet color are dependent C. Upper H 0​: Injuries and helmet color are dependent Upper H 1​: Injuries and helmet color are independent D. Upper H 0​: Whether a crash occurs and helmet color are dependent Upper H 1​: Whether a crash occurs and helmet color are independent Compute the test statistic.

Find the critical​ value(s).

nothing

​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)

What is the conclusion based on the hypothesis​ test?

▼

Reject

Fail to reject

Upper H 0H0.

There

▼

is

is not

sufficient evidence to warrant rejection of the claim that injuries are independent of helmet color.

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Expert Solution

orchestra answered 1 year ago
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