A person who claims to be psychic says that the probability p that he can correctly predict

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A person who claims to be psychic says that the probability p that he can correctly predict the outcome of the roll of a die in another room is greater than 1/6, the value that applies with random guessing. If we want to test this claim, we could use the data from an experiment in which he predicts the outcomes for n rolls of the die. State hypotheses for a significance test, letting the alternative hypothesis reflect the psychic’s claim.
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