A company operates four machines three shifts each day. From production records, the following data

A company operates four machines three shifts each day. From production records, the following data on the number of breakdowns are collected: Machines Shift A B C D 1 41 20 12 16 2 31 11 9 14 3 15 17 16 10 Test the hypothesis (using ?Ž? = 0.05) that breakdowns are independent of the shift. Find the P-value for this test.

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