Question

Short Answer 1. A medical trial looking at the effectiveness of a new medication was carried on a sample of adults. 200 females and 100 males took part in the trial. Out of those people, 60 females and 50 males responded positively to the medication. Create a contingency table of the results and answer the following: a. Who responds better to the medication, men or women? b. Express the relative effectiveness of the drug between groups, as a ratio. c. If you randomly picked out a negative test, what is the probability that the person would be male? d. Practically speaking, for whom would this new medication be of most benefit?

Answer 1

Solution: Let, - 200 females, roomales > negative | Total Contigency table, Responde Positive Male female - 50 100 140 200 Total llo I 190 3009 -) The % of Positive responce of male is 50 x 100% 100 -50%. positive responce of .) The % of female is ? " 600 x 100% IL - 30% Men responds is better to the medication . b)) The ratio of the positive respond of male and u female is . 50 - 15:6)

.) The oratio of the negative respond of male and female 140 15:14] c) The required Probability is The re Plmale negative test). I on = P(male and negative test) Plnegative test) = 50/300 190/300 , : - Some - 519 P(males positive respond ) - 50 300 = 5730 mult 01667 P[female positive respond) = 60/300 , = 6/30 d) Therefore, this medication would be of most benefit for women