One criterion used to evaluate employees in the assembly section of a large factory is the number of defective pieces per 1,000 parts produced. The quality control department wants to find out whether there is a relationship between years of experience and defect rate. Since the job is repetitious, after the initial training period any improvement due to a learning effect might be offset by a loss of motivation. A defect rate is calculated for each worker in a yearly evaluation. The results for 100 workers are given in the table below.
High 6 9 9
Average 9 19 23
Low 7 8 10
Referring to the Table below, at α = 0.05 level of significance, what would be the decision rule?
a. Reject H_0 if chi-square > 16.919
b. Reject H_0 if chi-square > 15.507
c. Reject H_0 if chi-square > 11.143
d. Reject H_0 if chi-square > 9.488
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