A noted psychic was tested for ESP. The psychic was presented with 200 cards face down and askedto determine if the card was one of five symbols: a star, cross, circle, square, or three wavy lines. Thepsychic was correct in 50 cases. To determine if he has ESP, we want to know if his success rate is betterthan someone who just guesses. That is, we test the hypotheses H0: p = 0.20, Ha: p > 0.20, where prepresent the proportion of cards for which the psychic correctly identifies the symbol in random trials.Assume the 200 trials described above can be treated as an SRS from the population of all guesses thepsychic would make in his lifetime. The P-value of this test is A) between .10 and .05. B) between .05 and .025. C) between .025 and .01. D) between .01 and .001. E) below .001.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.