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In Problem, test the hypothesis that the daily number of failures has a Poisson distribution.

A random sample of 500 migrant families was classified by region and income (in units of $1,000). The following data  resulted.

Income

South

North

0-10

42

53

10-20

55

90

20-30

47

88

>30

36

89

Determine the p-value of the test that a family's income and region are independent.

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