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that since the majority of new births are to hispanics, then it's a higher probability it's hispanic

If true that would be very difficult to believe. They are what- 13% of the population? What are whites- 70%? Blacks- 12%? If those figures are right and excepting all other portions of the population from the equation that means hispanics have more babies than whites and blacks combined although they are a mere seventh the size of those two groups.

I find that pretty hard to believe.

Now of course, they could have babies at a higher rate (live births per thousand) but it would have to be a really radical higher rate in order to produce enough live births to cancel out the White and Black birth rate.