In a chi-square test of a contingency table,the value of the test statistic was χ² = 12.678,and the critical value at α = 0.025 was 14.4494.Thus: A)we don't have enough evidence to accept or reject the null hypothesis at α = 0.025. B)we should decrease the level of significance in order to reject the null hypothesis. C)we fail to reject the null hypothesis at α = 0.025. D)we reject the null hypothesis at α = 0.025.

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The test statistic value of 12.678 is smaller than the critical value of 14.4494 at α = 0.025. Therefore, we fail to reject the null hypothesis at α = 0.025, meaning that there is not enough evidence to suggest a significant association between the variables in the contingency table.

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