$$\text { Find the values for } \chi _ { \text {left } } ^ { 2 } \text { and } \chi _ { \text {right } } ^ { 2 } \text { when } \alpha = .05 \text { and } n = 27$$
A) 14.573 and 43.194
B) 15.379 and 38.885
C) 16.151 and 40.113
D) 13.844 and 41.923

Question

Quizplus · Accepted Answer

The chi-square distribution values for $\chi^2$ are determined by the significance level ($\alpha$) and the degrees of freedom (df). For a two-tailed test with $\alpha = .05$ and $n = 27$, the degrees of freedom are $n - 1 = 26$. Consulting a chi-square distribution table or calculator for $\alpha/2 = .025$ (for the left tail) and $1 - \alpha/2 = .975$ (for the right tail) with 26 degrees of freedom gives the values $\chi_{\text{left}}^2 = 13.844$ and $\chi_{\text{right}}^2 = 41.923$.

A) 14573 and 43