Actually, Salty, I doubt that is the case. I don't have stats, but I'll give you an example.
A 20-ish co-worker of mine, black girl, was taken out of high school by her single parent mother (religious woman) when this girl started "getting into trouble."
This girl ended up graduating high school at the age of 16, spent a year in college on a scholarship in Australia, came back to the states, became a registered nurse and is now working on a marketing degree.
One of the most competent, self-assured young people I have ever known. Mom made great sacrifices to turn out that kid.
Even though Schwarzenegger is super wealthy now, he's self-made literally picking himself up from his own bootstraps. He'd identify with with the mother you've described. I stick with my former comment that he's protecting his own. American public schools didn't make Arnold successful.