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

Question

Quizplus · Accepted Answer

In a chi-square test for independence, expected frequencies are calculated based on the assumption of independence between the two variables being compared. To check whether the expected frequencies have been calculated correctly, it is important to ensure that the sum of the observed frequencies and the sum of the expected frequencies for each row and column are equal. This is because the expected frequencies should reflect the same proportions as the observed frequencies, just assuming independence. Option A is not always true, as the expected frequency can be larger than the observed frequency in some cases. Option B is not a relevant check for the arithmetic for expected frequencies. Option D is incorrect, as the sum of expected frequencies for each row does not need to equal the sum of the observed frequencies for each column minus 1.

When Carrying Out a Chi-Square Test for Independence,a Good Check