$$\text { Find the critical values, } \chi _ { 1 } ^ { 2 } - \alpha / 2 \text { and } \chi _ { \alpha / 2 } ^ { 2 } \text {, for } 98 \% \text { confidence and } n = 20 \text {. }$$
A) 7.633 and 36.191
B) 6.844 and 27.204
C) 8.907 and 38.582
D) 10.117 and 32.852

Question

Quizplus · Accepted Answer

The critical values for a chi-square distribution with $n - 1 = 19$ degrees of freedom at a 98% confidence level correspond to the values of $\chi^2$ at the tails of the distribution, where the cumulative probability is $\alpha/2 = 0.01$ and $1 - \alpha/2 = 0.99$. The correct critical values are 7.633 for $\chi_{0.01}^2$ and 36.191 for $\chi_{0.99}^2$, which are found using chi-square distribution tables or software for the 19 degrees of freedom.

A) 7633 and 36