In the biblical spirit of an eye for an eye to which some subscribe. Should a child who strikes another child be struck likewise? Will this then inevitably lead them to become violent towards their own offspring later? Might it make them realise that what they have done causes hurt and offence? Might they grow up to be in favour of capital punishment? Could it even be that they will realise what they did was wrong, and never do it again?
All of the above can be proved or disproved by statistical research, and the answers to your research depend on what questions you ask, and how you ask them. In other words most poll results are subjective not objective, and are usually conducted and/or promoted by people with a particular axe to grind.
John