My wife and I just did the ancestry.com test. We were both surprised that no native American DNA showed up- especially since I have a picture and family stories of my great great grandmother who was Cherokee.
Did a little reading and in the fine print Ancestry.com explains that after six or seven generations, the genetic markers they look for may or may not show up. So I my case this doesn't mean that I DON'T have Cherokee blood; it simply means that the markers they look for aren't there. IOW inconclusive.
But via the results I did learn that I'm 2% African... which isn't a huge surprise having grown up in the South.
Also they picked up a trace (less than 1%) of Polynesian/Pacific Islander. I have no idea where that came from