A pharmaceutical company is testing the effectiveness of a new drug for asthma p

Question

A pharmaceutical company is testing the effectiveness of a new drug for asthma patients. The drug is given to 100 volunteers who suffer from asthma, while a placebo is given to 100 other volunteers who also suffer from asthma. After 4 weeks, the volunteers are asked if they noticed improvement in their asthma symptoms. The results of the survey are shown in the contingency table below. What is the probability that a volunteer received the placebo given that he did not report a noticeable improvement in symptoms?

Question 10 options:

.2667

.733

.32

.88

Improved Did not Improve Totals Received the Drug 68 32 100 Received the Placebo 12 88 100 Totals 80 120 200

Explanation / Answer

What is the probability that a volunteer received the placebo given that he did not report a noticeable improvement in symptoms?

Soln :

Didnt improve total = 32 + 88 = 120

Out of these, who got the placebo --> 88 ppl

So, p = 88/120 or 0.7333333333333333

Option B ---> ANS

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