A college professor is curious if the location of a seat in class affects grades in the class. They are teaching in a lecture hall with 240 students. The lecture hall has 10 rows, so they split the rows into 5 sections - Rows 1-2, Rows 3-4, Rows 5-6, Rows 7-8, and Rows 9-10. At the end of the course, they determine the top 25% of grades in the class, and if the location of the seat makes no difference, they would expect that these top 25% of students would be equally dispersed throughout the classroom. Their observations are recorded below.

Run a Goodness of Fit test to determine whether or not location has an impact on the grade. Let =0.05. After running a Goodness of Fit test, does the professor have evidence to conclude that location in the classroom has an impact on final grade and what is the p-value?

Rows 1-2Rows 3-4Rows 5-6Rows 7-8Rows 9-10# in Top 25%148131015Expected Counts1212121212

Question 5 options:

no, the p-value = 0.413907

yes, the p-value = 0.586093

no, the p-value = 0.58609

yes, the p-value = 0.413907