That is a half-truth. And a Half-Truth is the worst kind of lie.
The Federal Government mandates Welfare payments to recipients countrywide. The Feds then make Block Grants to the States based on how much Welfare they pay out. With me so far? Are you not aware of these facts? You are?
Good, let's continue.
Now look up the demographics of each of those 'Taker' States your idiotic source talks about and compare them to their percentage of Black Population.
Here, I'll do it for you since you don't appear to be especially bright --
en.wikipedia.org
See any correlation?