I am in a Stats class with a brilliant Professor that I unfortunately do not get everything they say and or do. I have a question of theirs that I would like to see how others address the answer to it. The question is below. I am having trouble connecting how to decipher a Type I and a Type II and how it should be set up, especially when the word "erroneously" are thrown in. Please help to explain the best ways to understand and interpret the answers for A and B. (please note I already have the answers, it's how to understand and process them that I need more comprehension of)
The manufacturer of an over-the-counter pain reliever claims that its product brings pain relief to headache sufferers in less than 3.5 minutes.
A. What null hypothesis is Mary testing if she commits a type I error when she erroneously concludes the manufacturer's claim is correct?
B. What null hypothesis is Mary testing if she commits a type II error when she erroneously concludes the manufacture's claim is correct?