A 1999 study (see reference below) identified 4 distinct types of TV parents: (1) non-mediators – these are parents who do not either endorse nor refute television content; (2) optimists – these are parents who are more likely to endorse TV content than they are to refute TV content; (3) cynics – parents who are more likely to refute TV content than they are to endorse it; and (4) selectives – parents who both refute and endorse TV content.
The study also found that the simple act of watching TV with your child (co-viewing) may imply to your child that you endorse what is being watched, thereby potentially making it more likely that your child will agree with what they are watching.
Here’s the citation: Austin, E.W., Fujioka, Y., Bolls, P. & Engelbertson, J. (1999). How and why parents take on the tube. Journal of Broadcasting & Electronic Media, 43, 175-92.