Chi Square Test Critical Value Table. This means we do not have sufficient evidence to say that the three training programs produce different results. The areas given across the top are the areas to the right of the critical value.
Since our test statistic is smaller than our critical value we fail to reject the null hypothesis. To look up an area on the left subtract it from one and then look it up ie. For confidence intervals a critical value is one of the ingredients that goes into the calculation of a margin of error.
This table this table contains the critical values of the chi square distribution.
For upper tail one sided tests the test statistic is compared with a value from the table of upper tail critical values. The distribution table shows the critical values for chi squared probailities. For hypothesis tests a critical value tells us the boundary of how extreme a test statistic we need to reject the null hypothesis. Chi square distribution table d f.