One classical experiment on ESP (extrasensory perception) tests for the ability of an individual to show telepathy-to read the mind of another individual. This test uses five cards with different designs, all known to both participants. In a trial, the "sender" sees a randomly chosen card and concentrates on its design. The "receiver" attempts to guess the identity of the card. Each of the five cards is equally likely to be chosen, and only one card is the correct answer at any point. a) Out of 10 trials, a receiver got five cards correct. What is her success rate? What is her expected rate of success, assuming she is only guessing b) Is her higher actual success rate reliable evidence that the receiver has telepathic abilities? State the hypotheses, carry out the appropriate hypothesis test, state your conclusions (

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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One classical experiment on ESP (extrasensory perception) tests for the ability of an
individual to show telepathy-to read the mind of another individual. This test uses five
cards with different designs, all known to both participants. In a trial, the "sender" sees
a randomly chosen card and concentrates on its design. The "receiver" attempts to
guess the identity of the card. Each of the five cards is equally likely to be chosen, and
only one card is the correct answer at any point.
a) Out of 10 trials, a receiver got five cards correct. What is her success rate? What is her
expected rate of success, assuming she is only guessing
b) Is her higher actual success rate reliable evidence that the receiver has telepathic
abilities? State the hypotheses, carry out the appropriate hypothesis test, state your
conclusions (
Transcribed Image Text:One classical experiment on ESP (extrasensory perception) tests for the ability of an individual to show telepathy-to read the mind of another individual. This test uses five cards with different designs, all known to both participants. In a trial, the "sender" sees a randomly chosen card and concentrates on its design. The "receiver" attempts to guess the identity of the card. Each of the five cards is equally likely to be chosen, and only one card is the correct answer at any point. a) Out of 10 trials, a receiver got five cards correct. What is her success rate? What is her expected rate of success, assuming she is only guessing b) Is her higher actual success rate reliable evidence that the receiver has telepathic abilities? State the hypotheses, carry out the appropriate hypothesis test, state your conclusions (
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