Question

In a large-scale experiment, a researcher randomly assigned 6,000 subjects to receive either a drug or a placebo. 4,000 patients were assigned to receive the drug, and the other 2,000 patients received the placebo. The researcher did a quick headcount in the drug-receiving group and noted that there were 3,002 males who received the drug. The researcher does not have time to do a headcount in the placebo group. Which is the most reasonable number of males in the placebo group?

a) 1000

b) 1500

c) 2000

d) 3002

Answer 1

Here the total population is 6000.

they were randomly assigned to take placebo or drug

so the total number of subjects receiving the drug = 4000

total number of subjects receiving the placebo = 2000

here the number of males in 4000 group is 3002 who receives the drug

since drug and placebo is assigned randomly so the percentage of male in one group ( having 4000 subjects) should be equal to the percentage of male in the second group (having 2000 subjects)

So the number of males in the second group

(3002/4000)*100% = (x/2000)*100%

where x is the number of males in the placebo group.

x = (3002/4000)*2000 = 1501

so the approximate answer would be 1500 answer