Exact distribution for the chi square test in the one way table

The author has computed the exact distribution of the test criterion used in testing that the probabilities in a one way table are equal. A set of tables is given to facilitate picking out the critical region corresponding to 13, 33, and 10th type 1 error. With the aid of graphs, it is shown that the continuity corrections that reduce the value of the computed test criterion are actually making the error in the chi-square approxitation verse.