The marketing consultant for a travel agency wants to determine whether travel concerns are related to travel purpose. The contingency table shows the results of a random sample of 300 travelers classified by their primary travel concern and travel purpose. At α = 0.01, can the consultant conclude that the variables travel concern and travel purpose are related? (The expected frequencies are displayed in parentheses.)

a. Identify the claim and state H₀ and H_a.

b. Identify the level of significance α.

c. Determine the degrees of freedom.

d. Find the critical value X₀² and identify the rejection region.

e. Use the observed and expected frequencies to find the chi-square test statistic. Sketch a graph.

f. Decide whether to reject the null hypothesis.

g. Interpret the decision in the context of the original claim.

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Travel concern Travel l Leg room Rental purpose room on plane car size Other Total Business36 (44.4) 108 (97.2 14 16.8) 22 (21.6 180 Leisure 38 (29.6 54 (64.8) 14 (112) 4 14.4120 Total 74 162 28 36 300