business statistics
posted by Marianne on .
In a test of the independence of two variables, one of the variables has two possible categories and the other has three possible categories. What will be the critical value of chisquare if the test is to be carried out at the o.025 level? At the 0.05 level?

This is a similar question to the previous where you would have to look up the cumulative probability values for a given value of α and degrees of freedom.
For a 2 by three contingency table, the number of degrees of freedom is (21)*(31)=2.
For α=0.025, cum.probability=0.975, df=2, Χ²=7.38.
You can get the value for α=0.05 in a similar way.