Find the critical values, $X_{ R } ^{ 2 } \text { and } X { } _ { L } ^ { 2 }$ , for c = 0.98 and n = 20.
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

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The critical values for a chi-square distribution with $n - 1 = 19$ degrees of freedom and a confidence level of 0.98 (or significance level of 0.02) can be found in a chi-square distribution table or calculated using statistical software. For a two-tailed test, the lower critical value ($X_{ L } ^{ 2 }$) corresponds to the 1% significance level (since 0.02 is split into two tails, making it 0.01 for each tail), and the upper critical value ($X_{ R } ^{ 2 }$) corresponds to the 99% significance level. The correct values are 7.633 for $X_{ L } ^{ 2 }$ and 36.191 for $X_{ R } ^{ 2 }$, which matches option A.

Find the Critical Values XR2 and XL2X_{ R } ^{ 2 } \text { and } X { } _ { L } ^ { 2 }XR2​ and XL2​

Find the Critical Values $X_{ R } ^{ 2 } \text { and } X { } _ { L } ^ { 2 }$