If = 4.79,then a chi-square goodness-of-fit test would be significant when k = 2,but not when k = 3.

Question

If   = 4.79,then a chi-square goodness-of-fit test would be significant when k = 2,but not when k = 3.

Quizplus · Accepted Answer

This statement is true because according to the chi-square goodness-of-fit test, the calculated test statistic should be greater than the critical value for the desired level of significance (usually 0.05) in order to reject the null hypothesis. The critical value depends on the degrees of freedom, which in this case is k-1. When k=2, the degrees of freedom is 1 and the critical value is 3.84. However, when k=3, the degrees of freedom is 2 and the critical value is 5.99. Therefore, if the calculated test statistic is less than 3.84 for k=2, the null hypothesis is not rejected and the test is not significant. But if the calculated test statistic is greater than 5.99 for k=3, the null hypothesis is rejected and the test is significant.

If = 479,then a Chi-Square Goodness-Of-Fit Test Would Be Significant When K