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A poker-dealing machine is supposed to deal cards at random.   In a test, you counted 1600...

A poker-dealing machine is supposed to deal cards at random.   In a test, you counted 1600 cards, and observed the following:

            Spades 410

            Hearts 390

            Diamonds        415

            Clubs               385

Could it be that the suits are equally likely? Or are these discrepancies too much to be random?

Test the appropriate hypotheses at 5%.

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