Question

2. A medical trial looking at the effectiveness of a new medication was carried on a sample of adults. 100 females and 80 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 the most benefit?

Answer 1

2. A medical trial looking at the effectiveness of a new medication was carried on a sample of adults. 100 females and 80 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:

	Female	Male	Total
+ve test	60	50	110
-ve test	40	30	70
Total	100	80	180

Column percentages

	Female	Male	Total
+ve test	60	62.5	61.11
-ve test	40	37.5	38.89
Total

a. Who responds better to the medication, men or women?

Men responded better because their % of positive test (62.5%) is more than women(60%)

b. Express the relative effectiveness of the drug between groups, as a ratio.

relative effectiveness of men to women = (50/80)/(60/100) = 1.0417

c. If you randomly picked out a negative test, what is the probability that the person would be male?

P=30/70 =0.4286

d. Practically speaking, for whom would this new medication be of the most benefit?

Since men responded more positive, men were most benefit.