Question

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.

Answer 1

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 $H_a>\frac{1}{13}$.