An American city with an African-American population under 5% is what? A suburb? A big town? If you have a city of large enough size, all other things being equal it will have a large Black population and it will have big city problems.
The cities with the smallest Black populations are Provo UT and Brownsville TX. Both have had corruption problems in recent years, if the newspapers aren't lying. Lowell MA manages to have fewer than 5,000 Blacks (under 5% of the population). Still, it doesn't have a reputation as the nicest place to live (sorry, if anybody out there does live there).
San Diego, El Paso and San Jose are three examples off the top of my head where that is simply not true. There have been many examples given of smaller cities that have a black majority and are crime-ridden - Pine Bluff AR and Helena-West Helena for example. East St. Louis and Gary are two more. Go to city-data.com and check it out. It has crime and demographic data for nearly every city and town in the US.
The cities with the smallest Black populations are Provo UT and Brownsville TX. Both have had corruption problems in recent years, if the newspapers aren't lying. Lowell MA manages to have fewer than 5,000 Blacks (under 5% of the population). Still, it doesn't have a reputation as the nicest place to live (sorry, if anybody out there does live there).
In 2010, Provo had 2 murders, Brownsvile (93% Hispanic) had 7 murders, and Lowell had just 1. The murder rates per 100,000 were 1.7, 3.9 and 1.0 respectively. They are safe cities.