A noted psychic was tested for 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 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 H0: p = 0.25 versus Ha: p > 0.25. The P-value of your test is: