Worksheet 19: Hypothesis testing

Your name:

Your student ID number:

1. AI or not?

Image	1	2	3	4	5	6	7	8
Guess	AI/not	AI/not	AI/not	AI/not	AI/not	AI/not	AI/not	AI/not
Truth	AI/not	AI/not	AI/not	AI/not	AI/not	AI/not	AI/not	AI/not

How many did you get right, and what was your \(p\)-value?

2. B’s team is made up of \(9\) engineers, \(0\) of which grew up in North America. \(20\%\) of the qualified applicant pool is from North-America.

   a. Do you think B’s team’s hiring practice is discriminatory against North Americans?

   b. What is the null hypothesis, if we were to formulate this as a hypothesis testing problem?

   c. What is the \(p\)-value of our data, given the null hypothesis? (Give a formula to calculate it.)

   d. Should we reject the null hypothesis?

3. The mean word length in the Gettysburg address is 4.3, with a standard deviation of 2.2. In our class sample of size \(n = 64\), the sample mean was \(6.3\).

   Was our class sample a uniform sample of words from the Gettysburg Address?

   a. State the null hypothesis.

   b. Calculate the \(p\)-value. Hint: use the Normal Approximation.

   c. Should we reject the null hypothesis?