Question: 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

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. Test the hypothesis at the 0.05 level of significance that the recorded data may be fitted by the hyper geometric distribution h(x; 8, 3, 5), x = 0,1, 2,3.

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