For a chi-square goodness-of-fit test,the denominator is A) f_e− 1. B) f_o− 1. C)f_e. D)f_o.

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The denominator for a chi-square goodness-of-fit test is calculated as the expected frequency (under the null hypothesis) times the sample size. In this case, the expected frequency is the product of the marginal totals (sums of rows and columns) divided by the total sample size. For a two-way table with categories A and B, the expected frequency for cell (i,j) is (row i total)*(column j total)/total sample size. Therefore, the denominator for the chi-square test is the sum of (O-E)^2/E over all cells, where O is the observed frequency and E is the expected frequency. In this formula, E = (row i total)*(column j total)/total sample size. If we simplify the expression, we can see that the denominator is just the product of the row and column totals divided by the total sample size, or f_e..

For a Chi-Square Goodness-Of-Fit Test,the Denominator Is