You are testing a new drug and have gathered binary data on whether the drug performed its desired effects. From the control trial, $102$ people saw improvement with a placebo and $241$ did not. With the drug, $67$ people saw improvement and 82 did not. What is the odds ratio of these results?
My solution is that $a = 102, c = 241$ for placebo and $b = 67, d = 82$ for drug, odds ratio should be $a*d/b*c = 102*82/67*241 = 8364/16147$, but it didn't seem to be right, can anyone tells what went wrong? Much appreciated