Test the hypothesis, at the 0.05 level of significance, that the recorded data may be fitted by the hypergeometric distribution ...

     Three marbles are   selected from an urn containing 5 red marbles and 3 green marbles. After the   number X of red marbles is recorded, the marbles are replaced in the urn and   experiment repeated 112 times. The results obtained are as follows: x 0 1 2 3   f 1 31 55 25 Test the hypothesis, at the 0.05 level of significance, that the   recorded data may be fitted by the hypergeometric distribution h(x;8,3,5),   x=0,1,2,3.