Statistics Question

  
Quiz 1
1. One football player was tired of teachers and students making comments under the general assumption that student-athletes were less intelligent or inferior students to those not playing sports. To get rid of the “dumb jock” labels, he compared the results on a college readiness assessment of student-athletes and non-athletes. On this particular assessment, a student could receive the following scores: “under-prepared,” “on-track,” or “college-ready.” He recorded the following chart:
  

Under-Prepared

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On-Track

College-Ready
 
Athlete

88

180

224
 
Non-Athlete

127

250

300
a. Which statistical test would you use?
b. Give a brief one-sentence statement that led you to choose that test.
c. Provide your null (H0) and alternative (Ha) hypothesis.
d. Perform the test.
e. What is your statistic?
f. Which value are you comparing it to (critical value)?
g. What decision does this inform you to make?
h. Write a one or two sentence conclusion.
i. What limitations or other considerations would you point out for this study?

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