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3. Suppose 20 cups of coffee, 10 decaf and 10 regular, are served according to Fisher's design. a. Find the p-value for Fisher's exact test

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3. Suppose 20 cups of coffee, 10 decaf and 10 regular, are served according to Fisher's design. a. Find the p-value for Fisher's exact test when two cups of regular coffee are incorrectly categorized. b. Compare this p-value to the one obtained using the z test. c. Compute the p-value for the z test using the continuity correction. That is, find the chance that at most 2.5 cups are incorrectly labeled. Does this correction improve the p-value

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