10.82 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 the 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.