Is the distribution of the ages of workers who carpool in Maine the same as the distribution of the ages of workers who carpool in Massachusetts? Use α = 0.01.

Use the table, which lists the distribution of the ages of workers who carpool in Maine. It also lists the results of a random survey for two additional states.

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

(b) Find the critical value and identify the rejection region,

(c) Find the test statistic,

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

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

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State Ages Maine Oklahoma Massachusetts 16-19 6.1% 11 15 20-24 11.8% 27 22 25-44 41.8% 96 86 37 45-54 21.2% 42 55-59 10.1% 14 17 60+ 9.0% 15 18