Well, the conclusion for the illustration isn't quite accurate when thoroughly analyzed, which I'm not doing here either, but am noting an example of why not.
First, the thing to note about that statistical reference is that it represents arrest for crimes not charged, a big difference for a variety of reasons. Next, if you calculate it by percentage of the population blacks will average in higher as a percentage of their racial subset than whites, which is to say one could conclude they are more prone to crime than others. The link below is to total population figures. (There isn't a significant difference for illustrative purposes, but this a 2013 chart in population vs. 2009 on the arrests, so one would do far more for accuracy than I am to be more than illustrative.) Just keep in mind on average we are all Chinese, so statistics are prone to misuse and incorrect interpretations.
http://quickfacts.census.gov/qfd/states/00000.html
The point is it's not easily understood and is a highly debated statistical issue than just a few shots can cover.
As for the no AA issue, I've been told by a number of women of all races that the black guys in general are crass, disrespectful, unreasonably demanding and put out way too much 'game.' There are the other reasons stated, personal preferences and outright discrimination to add in, too; and certainly the bad guys spoil it for the good guys by supporting a stereotype not fair to them, but it's what it is.