A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results. Number of Reported Side-Effects Old Drug 0 1 1 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 0 0 0 0 2 2 1 0 0 2 1 1 1 1 5 5 3 2 1 5 5 4 2 7 3 8 4 9 5 10 R1=30 R2=25 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 10 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 8.5 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 8.5 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 10 is greater than the critical U value of 2

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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Question

A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results.

Number of Reported Side-Effects

Old Drug 0 1 1 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
0	0	0	0	2	2
1	0		0		2
1	1	1	1	5	5
3	2	1		5
5	4		2		7
		3		8
			4		9
		5		10
				R₁=30	R₂=25

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 10 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 8.5 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 8.5 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 10 is greater than the critical U value of 2.

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