Week 7: Hypothesis testing#
STATS 60 Spring 2025
10 bonus points for attendance
10 bonus points for completing assignment
Discussion assignment (extra credit, bonus points: 10 + up to 5 additional points):#
Choose a pattern or trend that you have observed on Stanford campus, then design a hypothesis test to determine whether it is statistically significant. In the following Google Form:
Describe the pattern or trend.
Formulate it as a hypothesis test: what is the null hypothesis? Describe it in both plain English, as well as formulating it as a probabilistic experiment.
Explain how to compute the \(p\)-value, and then use Colab to compute it. You may find this example to be a useful starting point.
Did you reject the null hypothesis?
What is the alternative hypothesis? If applicable, what is the type-2 error (false negative rate) for your hypothesis test?
If your example is chosen for presentation in discussion, you get 5 additional bonus points.
Discussion Agenda#
Show and tell (5 minutes)#
The discussion instructor selects the top example of a trend + hypothesis test.
The student curator explains their example, and the class goes through the test analysis.
Overview of concepts from the week (10 minutes)#
Discussion instructor reviews key concepts from the week.
Activity: (35 minutes)#
Facial stereotypes hypothesis testing.
Activity:
Students see two photos of faces, and have to decide which face corresponds to a given name. Students vote.
Working in small groups (with TA leading a discussion/recap after each step), perform a hypothesis test on the data to decide if there is facial stereotyping:
What is the null hypothesis?
What is the alternative hypothesis?
What is the \(p\)-value of the outcome observed in class?
Should we reject the null hypothesis? What are the false positive (type 1 error) and false negative (type 2 error) rates for our test?
What is the family-wise error rate across all \(5\) sections of STATS 60 (assuming each section has \(15\) attendees)?