Question

6. Suppose the odds ratio between gender (male, female) and smoking status (yes, no) is 2.5. a. Explain why it is incorrect to interpret the odds ratio as "the probability of smoking for males is 2.5 times that for females." (0.5 points) b. Provide the correct interpretation. (0.5 points)

          6. Suppose the odds ratio between gender (male, female) and smoking status (yes, no) is 2.5.
a. Explain why it is incorrect to interpret the odds ratio as "the probability of smoking for males is 2.5 times that for females." (0.5 points)
b. Provide the correct interpretation. (0.5 points)

6. Suppose the odds ratio between gender (male, female) and smoking status (yes, no) is 2.5.
a. Explain why it is incorrect to interpret the odds ratio as "the probability of smoking for males is 2.5 times that for females." (0.5 points)
b. Provide the correct interpretation. (0.5 points)

Added by Anthony S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sri K

03/29/2023

Step 1

The odds ratio is the ratio of the odds of smoking for males to the odds of smoking for females. Mathematically, it can be represented as: OR = $\frac{\text{Odds of smoking for males}}{\text{Odds of smoking for females}}$ Now, let's consider the incorrect Show more…

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Suppose the odds ratio between gender (male, female) and smoking status (yes, no) is 2.5. a. Explain why it is incorrect to interpret the odds ratio as "the probability of smoking for males is 2.5 times that for females." b. Provide the correct interpretation.