Q:

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

A:
Answer:The required null and alternative hypothesis are $$H_0=\frac{1}{13}$$ and $$H_a>\frac{1}{13}$$.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.  $$H_0=\frac{1}{13}$$The alternative hypothesis will be the person can predict outcome of the value of card is greater than 1/3.  $$H_a>\frac{1}{13}$$Hence, the required null and alternative hypothesis are $$H_0=\frac{1}{13}$$ and $$H_a>\frac{1}{13}$$.