Critical Value Table Chi Squared. Critical values are important in both hypothesis tests and confidence intervals. Chi square critical values table the chi square χ 2 distribution is often used in hypothesis testing to determine whether the deviation between observed and expected values is due to chance or.
For hypothesis tests a critical value tells us the boundary of how extreme a test statistic we need to reject the null hypothesis. The distribution table shows the critical values for chi squared probailities. Since our test statistic is smaller than our critical value we fail to reject the null hypothesis.
Thus according to the chi square distribution table the critical value of the test is 5 991.
The use of a chi square table that we will examine is to determine a critical value. Critical values are important in both hypothesis tests and confidence intervals. 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.