Question

In a large-scale experiment, a researcher randomly assigned 6,000 subjects to receive either a drug or...

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

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