A single observation of a random variable having a hypergeometric distribution with N = 7 and n = 2 is used to test the null hypothesis k = 2 against the alternative hypothesis k = 4. If the null hypothesis is rejected if and only if the value of the random variable is 2, find the power of the test.

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Q: The P-value for this hypothesis was found to be:

A: The test statistic is, z=x¯-μσn=78-682025=104=2.5 The test statistic is 2.5.

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