SOLUTION: A researcher randomly assigns 118 critically ill patients to receive a drug and 234 to receive a placebo. Among those assigned to the Drug Arm of the study 47 died and among those

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Question 1172471: A researcher randomly assigns 118 critically ill patients to receive a drug and 234 to receive a placebo. Among those assigned to the Drug Arm of the study 47 died and among those assigned to the Placebo Arm 51 died.
Determine the conditional odds of randomly selecting a study participant who died given that he or she was randomly assigned to the Drug Arm of the study. Round your final answer to the nearest thousandth.

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A researcher randomly assigns 118 critically ill patients to receive a drug and 234 to receive a placebo. Among those assigned to the Drug Arm of the study 47 died and among those assigned to the Placebo Arm 51 died.

	Study #	Died

Drug	118	47

Placebo	234	51

	352	98

Determine the conditional odds of randomly selecting a study participant who died given that he or she was randomly assigned to the Drug Arm of the study. Round your final answer to the nearest thousandth.

P(A|B) = P(A and B)/P(B)

P(D|Drug) = P(D and Drug)/P(drug) = (47/352)/(118/352) = 47/118 = .398