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In: Statistics and Probability

When testing for independence in a contingency table with 2 rows and 2 columns at 5%...

When testing for independence in a contingency table with 2 rows and 2 columns at 5% level of significance, the critical value of the test statistic is____

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Expert Solution

The 2 X 2 contingency chi-square is used for the comparison of two groups with a dichotomous dependent variable.

The result of the chi-square is compared to the tabled critical value based on the level of significance α, and df = (R -1)(C -1), where R and C represent the number of rows and the number of columns.

In this context

Level of significance, α =0.05

Row, R = 2

Column, C = 2

Hence, df = (R-1) *(C-1) = 1*1 = 1

From the Chi-square table, the critical value corresponding to level of significance 0.05 and df 1 is given below.

Critical value = 3.841

orchestra answered 2 years ago
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