Name: Math 170 Exam #3 Math A noted psychic was tested for ESP. The psychic was presented with 240 cards face down any was asked to determine if the card was one of 5 symbols: a star, cross, circle, square or three wavy lines. The psychic was correct in 65 cases. Let p represent the probability that the psychic correctly identifies the symbol on the card in a random trial. Assume trials can be treated as? simple random sample from the population of all guesses. To see if there is evidence that the psychic is doing better than guessing test the probability that they get it correct more than 209% of the time. 7. Identify the null and alternative hypothesis Ho: Ha: 8. Determine the value of the z-statistic for the test? 9. What is the P-value of the test? 10. State your conclusion based on the P-value and a = 0.01