Question

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 α=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 1-2	Rows 3-4	Rows 5-6	Rows 7-8	Rows 9-10
# in Top 25%	14	8	13	10	15
Expected Counts	12	12	12	12	12

• A.

  no, the p-value = 0.413907

• B.

  yes, the p-value = 0.586093

• C.

  no, the p-value = 0.58609

• D.

  yes, the p-value = 0.413907

Answer 1

* Null Hypothesis • The Ratio is equal for all rows (No Juyalt) At ternaka Hypothisis : At least one At least one is different Event | owe dl Expected | Expected Expected 110, Core frequency Robability frequency ob seowe S 1-2 0.2 12 0-3333 14 8 3-4 0-2 12 16 1-3333 13 0-2 12 0.0833 7-8 10 0-2 12 0-3333 9-10 4 9 6.2 12 0.75 15 60 Total bo 2.8333 = 0.586093 The corresponding P-value Reject Nou Hypothesis If ped(0.05) Here p >x (we do not reject Null Hypothesis All proportions No, the p-value value = 0.58609 tions are care Same option C scanned with CamScanner