Suppose a team of dermatologists are testing the effectiveness of a new skin cre
ID: 3220847 • Letter: S
Question
Suppose a team of dermatologists are testing the effectiveness of a new skin cream designed to treat rashes, but which they suspect may also make rashes worse in some patients. They run an experiment using patients with skin rashes, in which some are given the cream and some are not. For each patient, they record whether the patient's rash got better or worse. The results are in the table below.
note: For intermediate calculations, use three decimal places of precision.
d. What are the odds that a patient got better, given that the patient did not receive the skin cream?
Odds =
(round your answer to two decimal places)
e. What are the odds that a patient got better, given that the patient did receive the skin cream?
Odds =
(round your answer to two decimal places)
f. What is the odds ratio that compares the relative odds of getting better for a patient who did not receive the skin vs. a patient who did receive the skin cream?
OR =
(round your answer to two decimal places)
Explanation / Answer
d. Odds that a patient got better, given that the patient did not receive the skin cream = 108/18 = 6
e. Odds that a patient got better, given that the patient did receive the skin cream = 225/ 78 = 2.88
f. Odds ratio that compares the relative odds of getting better for a patient who did not receive the skin vs. a patient who did receive the skin cream
Odds that a patient got better, given that the patient did not receive the skin cream/ Odds that a patient got better, given that the patient did receive the skin cream
6/ 2.88 = 2.08
Interpretation, There is 2.08 times higher chance of getting better for patients who do not receive the skin cream as compared with patients who receive the skin cream
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