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