A person who claims to be psychic says that the probability, p, that he can correctly predict the outcome of the value of of a card drawn from a deck of cards in another room is greater than 1 divided by 13, 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 trials. State hypotheses for a significance test, letting the alternative hypothesis reflect the psychic's claim.
Accepted Solution
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Answer:The required null and alternative hypothesis are [tex]H_0=\frac{1}{13}[/tex] and [tex]H_a>\frac{1}{13}[/tex].Step-by-step explanation:Consider the provided information.A person who claims to be psychic says that the probability, p, that he can correctly predict the outcome of the value of a card drawn from a deck of cards in another room is greater than 1/13, the value that applies with random guessing.To test this claim we need to use the data from an experiment in which he predicts the outcomes for n trials. Since, alternative hypothesis represents the effect and null hypothesis represents no effect, Therefore null hypothesis will be: The person can predict outcome of the value of a card drawn in another room 1/13. [tex]H_0=\frac{1}{13}[/tex]The alternative hypothesis will be the person can predict outcome of the value of card is greater than 1/3. [tex]H_a>\frac{1}{13}[/tex]Hence, the required null and alternative hypothesis are [tex]H_0=\frac{1}{13}[/tex] and [tex]H_a>\frac{1}{13}[/tex].