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Question: Suppose 8 cups of coffee are served to a subject, where for each cup a coin is flipped to determine if regular or decaf coffee is poured. Also suppose that the subject correctly distinguishes 7 of the 8 cups. Test the hypothesis that the subject has no sensory discrimination. What is your p-value? Suppose instead that the cups were presented to the subject in pairs, where each pair had one cup of decaf and one regular, and the order was determined by the flip of a coin. How many cups of coffee would you need to serve the subject to obtain a p-value for one mistake that is roughly the same size as in the previous design?

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