Now assume that a randomized control trial is run. Three groups are randomly formed in thepopulation. The first group $($Z $=0)$ faces the normal rules $($cost c$).$ The second group $($Z $=1)$ cannot access the training at all. The third group $($Z $=2)$ is offered a subsidy s $<$ c if theychoose to attend the training $1.$Compute the value of the average wage in each of these populations. $2.$ Note that you can identify the proportion of trainees in each randomly formed group. Giventhis, show that by comparing group Z $=1$ with group Z $=0$ you can build an estimandidentifying the same parameter as in the absence of an experiment. Hint: this estimand may or may not be a simple difference in mean.