A college professor is curious if the location of 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.
Hypotheses:
H0: Location in the classroom __ impact final grade.
H1: Location in the classroom _ impact final grade.
Select the best fit choices that fit in the two blank spaces above.

The null hypothesis is a typical statistical theory which suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.

Here null hypothesis is the ratio that is equal for all rows (No impact)

Alternate Hypothesis: At least one is different

Event Observed Expected Expected (0-E)^r (0-E)^r/E

frequency probability frequency

1 - 2 14 0.2 12 4 0.3333

3 - 4 8 0.2 12 16 1.3333

5 - 6 13 0.2 12 1 0.0833

7 - 8 10 0.2 12 4 0.3333

9 - 10 15 0.2 12 9 0.75

Total 60 60 2.83333

The corresponding P-Value = 0.586093

Reject Null Hypothesis if P < ∝ (0.05)

Here P > ∝ (we do not reject Null hypothesis)

All proportions are same

Hence the answer is, Location in the classroom has no impact final grade and the P-Value = 0.58609.

To learn more about proportions click here https://brainly.com/question/19994681

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