The Stanford University Heart Transplant Study was conducted to determine whether an experimental heart transplant program increased lifespan. Each patient entering the program was designated an official heart transplant candidate, meaning that he was gravely ill and would most likely benefit from a new heart. Patients in the treatment group got a transplant and those in the control group did not. Of the 34 patients in the control group, 4 were alive at the end of the study. Of the 69 patients in the treatment group, 24 were alive. The contingency table below summarizes these results. 5. We write treatment oncards representing patients who were in the treatment group, and control oncards representing patientsin the control group. Then, we shuffle these cards and split them into two groups: one group of sizerepresenting patients who survived, andanother group of sizerepresenting patients who died. We calculate the difference between the proportion of patients in the treatment groupwho survived and the proportion of patients in the control group who survived to get Psim.treatment – Psim.control and record this value. We repeat thismany times to build a distribution centered atLastly, we calculate the fraction of simulations where the simulated differences in proportionsare 0.23 or higher v. If this fraction is low, we conclude that it is unlikely to have observed such an outcome by chance and that the nullhypothesis should be rejected in favor of the alternative. GroupAliveDeadTotalTreatment244569Control43034Total2875103Round all calculated answers to four decimal places.1. What proportion of patients in the treatment group survived? 0.352. What proportion of patients in the control group survived? 0.12

Name: The Stanford University Heart Transplant Study was conducted to determ
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Description: The Stanford University Heart Transplant Study was conducted to determine whether an experimental heart transplant program increased lifespan. Each patient entering the program was designated an official heart transplant candidate, meaning that he wa

Given:1).The total people who were in treatment group=69The number of people who were alive in the…

Answered: sity Heart Transplant Study was…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter7: Applying Fractions

Section7.2: Proportions

Problem 47WE

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The Stanford University Heart Transplant Study was conducted to determine whether an experimental heart transplant program increased lifespan. Each patient entering the program was designated an official heart transplant candidate, meaning that he was gravely ill and would most likely benefit from a new heart. Patients in the treatment group got a transplant and those in the control group did not. Of the 34 patients in the control group, 4 were alive at the end of the study. Of the 69 patients in the treatment group, 24 were alive. The contingency table below summarizes these results.

5. We write treatment on
cards representing patients who were in the treatment group, and control on
cards representing patients
in the control group. Then, we shuffle these cards and split them into two groups: one group of size
representing patients who survived, and
another group of size
representing patients who died. We calculate the difference between the proportion of patients in the treatment group
who survived and the proportion of patients in the control group who survived to get Psim.treatment – Psim.control and record this value. We repeat this
many times to build a distribution centered at
Lastly, we calculate the fraction of simulations where the simulated differences in proportions
are 0.23 or higher v. If this fraction is low, we conclude that it is unlikely to have observed such an outcome by chance and that the null
hypothesis should be rejected in favor of the alternative.

Group
Alive
Dead
Total
Treatment
24
45
69
Control
4
30
34
Total
28
75
103
Round all calculated answers to four decimal places.
1. What proportion of patients in the treatment group survived? 0.35
2. What proportion of patients in the control group survived? 0.12

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