The following data give the winning proportions of the top six football teams from each of the two conferences of the NFL.
|
American Conference
|
0.818
|
0.727
|
0.909
|
0.818
|
0.727
|
0.545
|
|
National Conference
|
0.636
|
0.545
|
0.636
|
0.636
|
0.818
|
0.455
|
Use the Wilcoxon rank sum test at the signi?cance level of 0.05 to test the null hypothesis that the two samples contain populations with identical medians against the alternative hypothesis that the medians are not equal. State any assumptions you have made to solve the problem.