Are they reimbursing you? Is it a one time blood sample? I honestly wouldn't mind. I have never done anything wrong so it wouldn't matter to me if they had my DNA on file. Again that's just me though, some people are more private and have their reasons, so my advice would be to follow your instinct.

Google it or call them with questions, I'm sure you could dig up more information.
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"An eye for an eye will only make the whole world blind."
Mahatma Gandhi