A new drug for pain relief is being tested within a givenpalliative care population. The new drug is being compared to analready approved pain relief drug that is commonly used inproviding palliative care to patients who experience chronic severepain. Assume the patients are asked to rate the pain on a scalefrom 1 to 10, and the data presented below was obtained from asmall study designed to compare the effectiveness of the two drugs.Set up and interpret the results of a Mann-Whitney U testwith an alpha of .05.
Pain Rating as Reported by Patients
OldDrug 1 3 3 4 6
New Drug 1 2 3 3 7
Old Drug | New Drug | Total Sample (Ordered Smallest to Largest) | Ranks |
Old Drug | New Drug | Old Drug | New Drug |
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| | | | R1= | R2= |
A) We fail to reject H0, which states the twopopulations are equal at the alpha equals .05 level because thecalculated U value of 10.5 is greater than the criticalU value of 2.
B) We fail to reject H0, which states the twopopulations are equal at the alpha equals .05 level because thecalculated U value of 14.5 is greater than the criticalU value of 2.
C) We reject H0 in favor of H1, whichstates the two populations are not equal at the alpha equals .05level because the calculated U value of 10.5 is greaterthan the critical U value of 2.
D) We reject H0 in favor of H1, whichstates the two populations are not equal at the alpha equals .05level because the calculated U value of 14.5 is greaterthan the critical U value of 2.