Example 1: Extrasensory Perception (ESP) In an ESP test, one person writes down one of the letters A, B, C, D, or E and tries to telepathically communicate the choice to a partner. The partner then tries to guess what letter was selected. If there is no ESP and people are just randomly guessing from among the five choices, what proportion of guesses would be correct? a). If no ESP, we expect p = _1/5 b). Which sample proportion is correct would provide the greatest evidence that people have ESP: (If we assume the sample size is the same in every case.) p(hat) = 0.1 p(hat) = 0.25 p(hat) = 0.4 p(hat) = 0.7