Normally called parents

The Impressive Effects of Tutoring on PreK-12 Learning: A Systematic Review and Meta-Analysis of the Experimental Evidence

Yes, thus exposing the fundamental hypothesis on education. 

Parents who tutor the kids will usurp all the gains in education. Hence the prevalence of Null hypothesis when testing school effects.  No amount of experiment will work until you get parental involvement. And that implies good parents.

Bad news for the Godots among us.