Ashkenazi Jews

[firetown]

As far as I know, the original Khazars were a Turkic group. They converted to Judaism.

http://www.britannica.com/EBchecked/topic/316553/Khazar

From your link:

But the most striking characteristic of the Khazars was the apparent adoption of Judaism by the khagan and the greater part of the ruling class in about 740.

https://en.wikipedia.org/wiki/Khagan

This is referring to a very small percentage of Khazars. Hardly enough to claim significant Khazar DNA percentages within today's Ashkenazi population.

 

[New Englander]

You can say that all Jews are descended in large from the Israelite, but the Eastern Ashkenazim groups may have small amounts of Khazar ancestry.