In a chi-square goodness-of- fit test with 5 degrees of freedom and a significance level of 0.05, the chi-square value from the table is 11.0705. Which of the following computed values of the chi-square test statistic will lead to rejection of the null hypothesis?
A) 8.952
B) 10.78
C) 7.814
D) 17.61
E) 0.25

Question

Quizplus · Accepted Answer

Since the significance level is 0.05 and the degrees of freedom is 5, the critical value from the chi-square table is 11.0705. Any computed value of the chi-square test statistic that is equal to or greater than 11.0705 would lead to rejection of the null hypothesis. Therefore, the only choice that meets this condition is D, with a computed value of 17.61.

In a Chi-Square Goodness-Of- Fit Test with 5 Degrees of Freedom