Chapter 8, Problem 95CRE

A friend claims he can predict the suit of a card drawn from a standard deck of 52 cards. There are four suits and equal numbers of cards in each suit. The parameter, $p$, is the probability of success, and the null hypothesis is that the friend is just guessing.

a. Which is the correct null hypothesis?

i. $p=1\text{/}4$

ii. $p=1\text{/}13$

iii. $p>1\text{/}4$

iv. $p>1\text{/}13$

b. Which hypothesis best fits the friend’s claim? (This is the alternative hypothesis.)

i. $p=1\text{/}4$

ii. $p=1\text{/}13$

iii. $p>1\text{/}4$

iv. $p>1\text{/}13$