I think Matt summed it up rather nicely, so let me put my 2 cents in and try to "murky things up a bit"
Imagine the two woods glued up and being bent. The harder wood will resist the bend more than the softer wood, but
both woods have to bend the same amount. If the harder wood (hickory in this case) is resisting the bend, then that means the softer wood (red oak) is taking on more work, and, as we bowyers say, is being over powered.
Now to get the hickory to do its fair share of the work, we have to coax it to
not resist being bent. How do you do that? Well, we all know that thin wood will readily bend and thicker wood doesn't, so thin the hickory!
I think this is another way of visualizing the relationship between tension and compression forces and the neutral plane.
At least this is how I sort of understand it, but I'll admit, I'm no expert!