Heart transplant success. The Stanford University Heart Transplant Study was conducted to determine whether an experimental heart transplant program increased lifespan. Each patient entering the program was officially designated a heart transplant candidate, meaning that he was gravely ill and might benefit from a new heart. Patients were randomly assigned into treatment and control groups. Patients in the treatment group received a transplant, and those in the control group did not. The table below displays how many patients survived and died in each group.22 control treatment alive 4 24 dead 30 45 Suppose we are interested in estimating the difference in survival rate between the control and treatment groups using a confidence interval. Explain why we cannot construct such an interval using the normal approximation. What might go wrong if we constructed the confidence interval despite this problem?
Heart transplant success. The Stanford University Heart Transplant Study was conducted to determine whether an experimental heart transplant program increased lifespan. Each patient entering the
program was officially designated a heart transplant candidate, meaning that he was gravely ill and might
benefit from a new heart. Patients were randomly assigned into treatment and control groups. Patients in
the treatment group received a transplant, and those in the control group did not. The table below displays
how many patients survived and died in each group.22
control treatment
alive 4 24
dead 30 45
Suppose we are interested in estimating the difference in survival rate between the control and treatment
groups using a confidence interval. Explain why we cannot construct such an interval using the normal
approximation. What might go wrong if we constructed the confidence interval despite this problem?
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