In a chi-squared test of a contingency table,the value of the test statistic was$\chi$ 2 = 12.678,and the critical value at $\alpha$ = 0.025 was 14.4494.Thus:
A) we fail to reject the null hypothesis at= 0.025.
B) we reject the null hypothesis at= 0.025.
C) we don't have enough evidence to accept or reject the null hypothesis at= 0.025.
D) we should decrease the level of significance in order to reject the null hypothesis.

Question

Quizplus · Accepted Answer

Since the test statistic value (12.678) is less than the critical value at $\alpha$ = 0.025 (14.4494), we fail to reject the null hypothesis. Thus, the best choice is A. There is not enough evidence to conclude that there is a significant association between the variables in the contingency table.

In a Chi-Squared Test of a Contingency Table,the Value of the Test