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Not sure if anyone pointed this out yet, but the math in the OP is incorrect (or rather, the words surrounding the math). The math discussing what percent Native American she is is not telling you that. Instead, it is telling you what percentage of her DNA on average came from one 6th-10th generation ancestor. Basically it assumes that every one of her ancestors had 0% Native American DNA.

As the OP later acknowledges, the average white American does have some small amount of Native American DNA. The actual number here is about 0.18%.

If you assume that all of Warrens other ancestors had an average amount of Native American DNA and one Native American ancestor 6-10 generations ago with 95% Native American DNA, she would have 0.27-1.66% Native American DNA which is 150-922% more Native American DNA than other white Americans. This is making several assumptions, but the original paper makes it clear that this is strong evidence of an unadmixed Native American ancestor within 10 generations. Take from that what you will.