Pain Researchers comparing the effectiveness of twopain medications randomly selected a group of patientswho had been complaining of a certain kind of joint pain.They randomly divided these people into two groups,then administered the pain killers. Of the 112 people inthe group who received medication A, 84 said this painreliever was effective. Of the 108 people in the othergroup, 66 reported that pain reliever B was effective.a) Write a 95% confidence interval for the percent ofpeople who may get relief from this kind of joint painby using medication A. Interpret your interval.b) Write a 95% confidence interval for the percent ofpeople who may get relief by using medication B.Interpret your interval.c) Do the intervals for A and B overlap? What do youthink this means about the comparative effectivenessof these medications?d) Find a 95% confidence interval for the difference in the proportions of people who may find these medica-tions effective. Interpret your interval. e) Does this interval contain zero? What does that mean?f) Why do the results in parts c and e seem contradictory?If we want to compare the effectiveness of these twopain relievers, which is the correct approach? Why?
Pain Researchers comparing the effectiveness of twopain medications randomly selected a group of patientswho had been complaining of a certain kind of joint pain.They randomly divided these people into two groups,then administered the pain killers. Of the 112 people inthe group who received medication A, 84 said this painreliever was effective. Of the 108 people in the othergroup, 66 reported that pain reliever B was effective.a) Write a 95% confidence interval for the percent ofpeople who may get relief from this kind of joint painby using medication A. Interpret your interval.b) Write a 95% confidence interval for the percent ofpeople who may get relief by using medication B.Interpret your interval.c) Do the intervals for A and B overlap? What do youthink this means about the comparative effectivenessof these medications?d) Find a 95% confidence interval for the difference in the proportions of people who may find these medica-tions effective. Interpret your interval. e) Does this interval contain zero? What does that mean?f) Why do the results in parts c and e seem contradictory?If we want to compare the effectiveness of these twopain relievers, which is the correct approach? Why?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
Pain Researchers comparing the effectiveness of two
pain medications randomly selected a group of patients
who had been complaining of a certain kind of joint pain.
They randomly divided these people into two groups,
then administered the pain killers. Of the 112 people in
the group who received medication A, 84 said this pain
reliever was effective. Of the 108 people in the other
group, 66 reported that pain reliever B was effective.
a) Write a 95% confidence interval for the percent of
people who may get relief from this kind of joint pain
by using medication A. Interpret your interval.
b) Write a 95% confidence interval for the percent of
people who may get relief by using medication B.
Interpret your interval.
c) Do the intervals for A and B overlap? What do you
think this means about the comparative effectiveness
of these medications?
d) Find a 95% confidence interval for the difference in
pain medications randomly selected a group of patients
who had been complaining of a certain kind of joint pain.
They randomly divided these people into two groups,
then administered the pain killers. Of the 112 people in
the group who received medication A, 84 said this pain
reliever was effective. Of the 108 people in the other
group, 66 reported that pain reliever B was effective.
a) Write a 95% confidence interval for the percent of
people who may get relief from this kind of joint pain
by using medication A. Interpret your interval.
b) Write a 95% confidence interval for the percent of
people who may get relief by using medication B.
Interpret your interval.
c) Do the intervals for A and B overlap? What do you
think this means about the comparative effectiveness
of these medications?
d) Find a 95% confidence interval for the difference in
the proportions of people who may find these medica-
tions effective. Interpret your interval.
tions effective. Interpret your interval.
e) Does this interval contain zero? What does that mean?
f) Why do the results in parts c and e seem contradictory?
If we want to compare the effectiveness of these two
pain relievers, which is the correct approach? Why?
f) Why do the results in parts c and e seem contradictory?
If we want to compare the effectiveness of these two
pain relievers, which is the correct approach? Why?
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