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A sample of employees at a large chemical plant was asked to indicate a preference for one of three pension plans. The results are given

A sample of employees at a large chemical plant was asked to indicate a preference for one of three pension plans. The results are given in the following table. Does it seem that there is a relationship between the pension plan selected and the job classification of the employees? Use the 0.02 significance level.

Pension Plan

Job Class Plan A Plan B Plan C Supervisor 35 30 34 Clerical 35 33 42 Labor 40 66 48

a) State the decision rule. Use 0.02 significance level.(Round your answer to 3 decimal places.)

H0: Pension plan preference and job class are not related.

H1: Pension plan preference and job class are related.

b) Compute the value of chi-square.(Round your answer to 3 decimal places.)

c) What is your decision regardingH0?

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