(solution) Statistics – To test his hypothesis that student who finish an exam first get better grades

(solution) Statistics – To test his hypothesis that student who finish an exam first get better grades

To test his hypothesis that student who finish an exam first get better grades, professor kept track of the order in which papers were handed in. Of the first 25 papers, 10 received a B or better compared with 8 of the last 24 papers handed in. Is the first group better, at a(alpha)=0.10? a) State your hypotheses and obtain a test statistic and p-value. Interpret the results.b) are the sample large enough to assure normality of p1-p2?c) make an argument that early-finishers should do better. Then make the opposite argument. Which is more convincing?