# Critical Chi-Square Values

Instructions: Compute critical Chi-Square values for the Chi-Square distribution using the form below. Please type significance level $$\alpha$$, the number of degree of freedom (df),and indicate the type of tail (left-tailed, right-tailed, or two-tailed)

Significance level ($$\alpha$$)
Degrees of freedom (df)
Two-Tailed
Left-Tailed
Right-Tailed

Some more information about critical values for the Chi-Square distribution probability: Critical values are points at the tail(s) of a certain distribution so that the area under the curve for those points to the tails is equal to the given value of $$\alpha$$. For a two-tailed case, the critical values correspond to two points on the left and right tailes of the distribution, with the property that the sum of the area under the curve for the left tail (from the left critical point) and the area under the curve for the right tail is equal to the given significance level $$\alpha$$.

For a left-tailed case, the critical value corresponds to the point on the left tail of the distribution, with the property that the area under the curve for the left tail (from the critical point to the left) is equal to the given significance level $$\alpha$$.

For a right-tailed case, the critical value corresponds to the point on the right tail of the distribution, with the property that the area under the curve for the right tail (from the critical point to the right) is equal to the given significance level $$\alpha$$