Do “A” students tend to sit in a particular part of the classroom? The author recorded the locations of the students who received grades of A, with these results: 17 sat in the front, 9 sat in the middle, and 5 sat in the back of the classroom. When testing the assumption that the “A” students are distributed evenly throughout the room, the author obtained the test statistic of X² = 7.226. If using a 0.05 significance level, is there sufficient evidence to support the claim that the “A” students are not evenly distributed throughout the classroom? If so, does that mean you can increase your likelihood of getting an A by sitting in the front of the room?

Conduct the hypothesis test and provide the test statistic, critical value and or P-value, and state the conclusion.