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I think the sample number is OK. Studies in the United States using the whole population use something like 600 samples. This one used 664 Americans to see if self-identification in 4 categories (white, black, asian and hispanic) were consistent with their ancestry.
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3051415/
The US population is less heterogeneous than Brazil's, but it's still very heterogeneous nowadays (considering the whole country and the amount of admixture in US Hispanics and African Americans). Interestingly, the study showed 19.4% of US whites in clusters other than white and 22.2% of Hispanic americans clustering in clusters other than Hispanic.
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