The contingency table shows the results of a random sample of fatally injured passenger vehicle drivers (with blood alcohol concentrations greater than or equal to 0.08) by age and gender. At α = 0.05, can you conclude that age is related to gender in such alcohol-related accidents?

Perform the indicated chi-square independence test by performing the steps below.

(a) Identify the claim and state H₀ and H_a.

(b) Determine the degrees of freedom, find the critical value, and identify the rejection region.

(c) Find the chi-square test statistic.

(d) Decide whether to reject or fail to reject the null hypothesis.

(e) Interpret the decision in the context of the original claim

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Age 31-40 41-50 Gender 16–20 21-30 51-60 61 and older 42 31 147 95 67 57 Male Female 36 25 17 15