Answer :
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].