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A poker-dealing machine is supposed to deal cards at random, as if from an infinite deck. In a test, you counted 1600 cards, and observed

  1. A poker-dealing machine is supposed to deal cards at random, as if from an infinite deck. In a test, you counted 1600 cards, and observed the following: Spades 350 Hearts 420 Diamonds 454 Clubs 376. Are the cards you drew different from what you expect in the population of cards? Test the null hypothesis at the .01 level.

Spades Hearts Diamonds Clubs
Fo 350 420 454 376

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