Question

                        Number of Reported Side-Effects

Old Drug           0          1          3          3          5

New Drug          0          0          1          2          4

Old Drug	New Drug	Total Sample (Ordered Smallest to Largest)		Ranks
		Old Drug	New Drug	Old Drug	New Drug
				R1=	R2=

A new drug for the treatment of dyspnea, labored breathing, is being tested within a given palliative care population. The new drug is being compared to an already approved drug used to treat dyspnea that is commonly used in providing palliative care to patients who experience difficulty breathing. Assume the patients are asked to keep a record of the number of episodes of severe dyspnea they experience throughout the week on the drugs being compared, and the data presented above was obtained from a small study designed to compare the effectiveness of the two drugs. Set up and interpret the results of a Mann-Whitney U test with an alpha of .05.

We fail to reject H0, which states the two populations are equal at the alpha equals .05 level because the calculated U value of 17 is greater than the critical U value of 2.
		We fail to reject H0, which states the two populations are equal at the alpha equals .05 level because the calculated U value of 8 is greater than the critical U value of 2.
		We reject H0 in favor of H1, which states the two populations are not equal at the alpha equals .05 level because the calculated U value of 17 is greater than the critical U value of 2.
		We reject H0 in favor of H1, which states the two populations are not equal at the alpha equals .05 level because the calculated U value of 8 is greater than the critical U value of 2.

Answer 1

Old Drug	New Drug	Total Sample		Ranks
		(Ordered Smallest to Largest)
		Old Drug	New Drug	Old Drug	New Drug
0	0	0	0	2	2
1	0	1	0	4.5	2
3	1	3	1	7.5	4.5
3	2	3	2	7.5	6
5	4	5	4	10	9

sample size n1		A	5
sample size n2		B	5
Rank sum (R1)=		A	31.5
Rank sum (R2)=		B	23.5

U1=n1n2+n1(n1+1)/2-ΣR1

=

8.5

option B is correct

B) We fail to reject H₀, which states the two populations are equal at the alpha equals .05 level because the calculated Uvalue of 8.5 is greater than the critical Uvalue of 2.

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