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    Chi square test of Independence

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    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.

    Years Since Training Period
    < 1 Year 1-4 years 5-9 Years
    Defect Rate High 6 9 9
    Average 9 19 23
    Low 7 8 10

    Referring to the table above, which test would be used to properly analyze the data in this experiment to determine whether there is a relationship between defect rate and years of experience?

    A. ANOVA F test for main treatment effect
    B. Z test for difference in two proportions
    C. X2 test for equal proportions is higher than another
    D. X2 test for independence in a two-way contingency table

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    Chi square test of Independence.

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