Short Answer
A wine company has retained you as a consultant to help evaluate the taste preference for their wine compared to the market leader. You plan to give 20 subjects a taste of both wines and ask them to rate the wines on a 10 point scale. The order of presentation is randomized so there is no order effect. Your plan is to analyze the results using the sign test. If the size of the difference is such that P real = 0.80, what is the power of your experiment to detect a preference for one wine or the other? Use a = 0.052 tail.
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