A Noted Psychic Was Tested for Extrasensory Perception

Multiple Choice

A noted psychic was tested for extrasensory perception.The psychic was presented with 200 cards face down and asked to determine if each card were one of five symbols: a star,a cross,a circle,a square,or three wavy lines.The psychic was correct in 50 cases.Let p represent the probability that the psychic correctly identifies the symbol on the card in a random trial.Assume the 200 trials can be treated as a simple random sample from the population of all guesses the psychic would make in his lifetime.Based on the results of the test,what is a 95% confidence interval for p?

A) 0.25 ± 0.004
B) 0.25 ± 0.05
C) 0.25 ± 0.055
D) 0.25 ± 0.060