2. 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 drug have equivalent efficacy. In order to determine if a larger study should be conducted to look inte the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equa .05 level and interpret its results.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Author:HOUGHTON MIFFLIN HARCOURT
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Chapter4: Writing Linear Equations
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2. 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
3
Old Drug
New Drug
1
0.
1
2
Total Sample
(Ordered Smallest to
Largest)
New Drug
Ranks
Old Drug
New Drug
Old Drug
Old Drug
New Drug
A) We fail to reject Ho, which states the two populations are equal at the alpha equals .05 level
because the calculated U value of 16.5 is greater than the critical U value of 2.
B) We fail to reject Ho, 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.
C) We reject H, in favor of Hi, which states the two populations are not equal at the alpha
equals .05 level because the calculated U value of 16.5 is greater than the critical U value of 2.
D) We reject Ho in favor of Hı, 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.
Transcribed Image Text:2. 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 3 Old Drug New Drug 1 0. 1 2 Total Sample (Ordered Smallest to Largest) New Drug Ranks Old Drug New Drug Old Drug Old Drug New Drug A) We fail to reject Ho, which states the two populations are equal at the alpha equals .05 level because the calculated U value of 16.5 is greater than the critical U value of 2. B) We fail to reject Ho, 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. C) We reject H, in favor of Hi, which states the two populations are not equal at the alpha equals .05 level because the calculated U value of 16.5 is greater than the critical U value of 2. D) We reject Ho in favor of Hı, 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.
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