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A common test for extrasensory perception (ESP) asks subjects to identify which of four shapes (star, circle, wave, or square) appears on a card unseen by the subject. Consider a test of n = 40 trials, where you will count how many times the subject specifies the correct shape. Suppose you want to determine if a subject has ESP. Let p = probability of a correct answer for the subject (that is, the proportion of correct responses if we tested the subject forever).

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