I am conducting research on the association between smoking and Tuberculosis (TB), and I need to clarify what the odds ratio is telling me. I am getting the Odds Ratio value from the table of a research paper, not directly from a statistical model. So if an Odds Ratio comparing smokers to nonsmoker is equal to 1.5, can I make the following interpretations?
- The odds of developing TB among smokers is 1.5 that of nonsmokers.
- The odds of developing TB among smokers is 50 % higher that of nonsmokers.
I think interpretation 1 and 2 are the same, but not sure if one is more suitable than the other. Now the other part of my question relates to "predicted probabilities" from ORs as described in this response https://stats.stackexchange.com/a/18115/208860. Is it possible to get that probability if I just have my OR and its confidence interval?