You are investigating the relationship between the ages of U.S. adults and what aspect of career development they consider to be the most important. You randomly collect the data shown in the contingency table. At α = 0.10, is there enough evidence to conclude that age is related to which aspect of career development is considered to be most important?

Perform the indicated chi-square independence test by doing the following.

(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. If convenient, use technology.

(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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Career development aspect Career path 21 Pay increases Age 18-26 years 27-41 years 42-61 years Learning new skills 31 27 19 31 14