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Fisher's Exact Test - occurrence of Sudden Infact Death Syndrome

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How was this example solved using Fisher's Exact Test. Please do this example without skipping steps (as this text has done) and offer an explanation to the method

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The expert examines Fisher's exact test for occurrence of sudden infant death syndrome.

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Before providing the solution to your problem, let me provide some general results.

Hyper geometric Distribution: Suppose a box contains N balls of which M are purple and N- M are gold balls. From this box n balls are drawn at random and X denotes the number of purple balls drawn.
Clearly X is a random variable which can take the values 0,1,2,..., n ( n ≤ M). The probability distribution of this random variable is called Hyper geometric distribution and its probability function is given by

This hyper geometric ...

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