A manufacturing company is concerned at the number of defects produced by the manufacture of office furniture. The firm operates three shifts and has classified the number of defects as low, moderate, high, or very high (Table 7.2). Is there any evidence to suggest a relationship between types of defect and shifts (assess at 5%)? If the two variables are associated then what is the form of the association?

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Shift Table 7.2 1 2 3 Low 29 54 70 Defect type Moderate 40 65 33 High 91 63 96 Very high 25 8 38