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When carrying out a chi-square test for independence, a good check on the arithmetic in figuring the expected frequencies is to make sure thata) the expected frequency of each cell is no larger than the observed frequencyb) the sum of all the expected frequencies times the degrees of freedom equals the sum of all the observed frequenciesc) within any one row or column, the sum of the observed frequencies and the sum of the expected frequencies are the samed) the sum of all the expected frequencies for each row equals the sum of all the observed frequencies for each column minus 1
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