In a study among patients who undergo wedge resection (a type of lung surgery for early-stage lung cancer), the odds ratio between history of cardiac comorbidity (1 = cardiac comorbidity; 0 = no cardiac comorbidity) for the outcome of post-surgical complications (1 = post-surgical complications; 0 = no post-surgical complications) was 2.1. Suppose that the odds of post-surgical complications for patients without cardiac comorbidity are 1.5.  The odds of post-surgical complications for patients with cardiac comorbidity is 3.15. Questions:  (1) For each cardiac comorbidity group, find the proportion of patients who experienced post-surgical complications. (2) Find the value of R in the interpretation: “The probability of post-surgical complications for patients with cardiac comorbidity is R percentage points higher than that of patients without cardiac comorbidity.” (3) Find the value of R in the interpretation: “The probability of post-surgical complications for patients without cardiac comorbidity is R times that of patients with cardiac comorbidity.”

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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In a study among patients who undergo wedge resection (a type of lung surgery for early-stage lung cancer), the odds ratio between history of cardiac comorbidity (1 = cardiac comorbidity; 0 = no cardiac comorbidity) for the outcome of post-surgical complications (1 = post-surgical complications; 0 = no post-surgical complications) was 2.1. Suppose that the odds of post-surgical complications for patients without cardiac comorbidity are 1.5.  The odds of post-surgical complications for patients with cardiac comorbidity is 3.15.

Questions: 

(1) For each cardiac comorbidity group, find the proportion of patients who experienced post-surgical complications.

(2) Find the value of R in the interpretation: “The probability of post-surgical complications for patients with cardiac comorbidity is R percentage points higher than that of patients without cardiac comorbidity.”

(3) Find the value of R in the interpretation: “The probability of post-surgical complications for patients without cardiac comorbidity is R times that of patients with cardiac comorbidity.”

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