Chapter 8, Problem 5SE

Magic A magician claims he can cause a coin to come up heads more than $50\%$ of the time. A coin is flipped 40 times, and 35 heads come up.

a. Pick the correct null hypothesis:

$\text{i}\text{. }p=0.50 \text{ii}.p=0.875 \text{ iii}\text{. }\hat{p}=0.50 \text{iv}\text{. }\hat{p}=0.875$

b. Pick the correct alternative hypothesis:

$\text{i}\text{. }p>0.50\text{ ii}.p\ne 0.875\text{ iii}\text{. }\hat{p}\ne 0.50\text{ iv}.\hat{p}=0.875$