You work for a college’s continuing education department and want to determine whether the reasons given by workers for continuing their education are related to job type. In your study, you randomly collect the data shown in the contingency table. At α = 0.01, can you conclude that the reason and the type of worker are dependent?

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.

Transcribed Image Text:

Reason for continuing education Type of worker Professional Peomal Professional and personal Type of worker Professional Personal Professional and personal Technical Other 30 47 36 41 30 25