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.

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In a chi-square goodness-of-fit test, degrees of freedom (df) is computed as k - 1, where k is the number of categories or groups being compared. In this case, if k = 2, then df = 2 - 1 = 1. Using a chi-square distribution table with df = 1, a chi-square value of 4.79 would be significant at p < .05 (or alpha level of .05). Therefore, the null hypothesis would be rejected and we would conclude that there is a significant difference between the observed and expected frequencies in the data.

However, if k = 3, then df = 3 - 1 = 2. Using a chi-square distribution table with df = 2, a chi-square value of 4.79 would not be significant at p < .05 (or alpha level of .05). Therefore, the null hypothesis would not be rejected and we would conclude that there is not a significant difference between the observed and expected frequencies in the data.

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