Chi-square tells us whether or not a relationship is statistically significant b

Question

Chi-square tells us whether or not a relationship is statistically significant but it not a test of substantive significance. If we find a Chi-square value of 57.33 for a 2 x 2 table, we can say

A. The differences between the variables are primarily due to sampling error.

B. The relationship between the variables exists and isn’t due to sampling error but could be too small to be relevant.

C. No relationship exists between the two variables but there may be a control variable that influences both of them.

D. We must have calculated wrong because Chi-Square cannot be higher than 1

Explanation / Answer

The correct Option is (B) The relationship between the variables exists and isn’t due to sampling error but could be too small to be relevant.

Because calculated value of Chi-square value is 57.33 for a 2 x 2 table which is greater than Chi-square critical value for 1 degree of freedom at 5% level of significance i.e. 3.841, we reject the null hypothesis .

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