You have selected a sample to use in testing a null hypothesis that Factor A and Factor B are independent. Your job is to fill in the missing frequencies in the partially completed frequency tables below and then calculate the appropriate chi square value for the test. (For ease of calculation, round values to the nearest integer.)

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OBSERVED FREQUENCIES Factor B B2 B1 Factor A A 1 A2 Totals B3 Totals 58 84 244 125 500 EXPECTED FREQUENCIES Factor B B2 Factor A A 1 A 2 Totals B1 B3 Totals 82