a false statement
homeownership rates among African-Americans is at its highest level ever
This statement was accurately reported from the transcript of the speech.
However the claim is reputed by the US Census which finds that the black homeownership rate peaked during 2004, when 49.7 percent of black households owned homes (the rate for all races that year reached 69.2 percent, also a modern record). The black homeownership rate stayed in similar territory until the recession, when it dropped to the mid-40s. This year: 42.7 percent in the first quarter, 42.3 percent in the second and 42 percent in the third. That’s an uptick from last year but far from a record. (Quarterly rates this year for the total U.S. population: 63.6 percent, 63.7 percent and 63.9 percent.)