A noted psychic was tested for extrasensory perception (ESP). The psychic was presented with 400 cards face down and asked to determine if each of the cards was one of four symbols: a star, cross, circle, or square. The psychic was correct in 120 cases. Let p p represent the probability that the psychic correctly identifies the symbols on the cards in a random trial. Suppose you wish to see if there is evidence that the psychic was doing better than just guessing. To make this determination, you test the hypotheses H 0 : p = 0.25 H0:p=0.25 versus H α : p > 0.25 Hα:p>0.25 .