The question is fact specific and depends on the laws of your state. In addition, the potential costs depends on what the case is about. As already asked, is it criminal or does it have to do with paternity? If civil, you have to ask the court to waive the costs but if criminal the issue is different. If a criminal matter, ask your attorney and, since you have little income your are probably already represented by a public defender.
I agree with my colleagues. Depending on the purpose, the fees would range from no cost to high cost.
Too that, I will make an additional point. When conducting a DNA test, you are comparing a known to an unknown. The known in your case would be your DNA. Getting that from you would be easy, but it's only part of the equation. The other part of the equation, obtaining what it is you want to test it against, may not be easy to obtain. If it's a kid, whose DNA you want to compare to yours, you will need consent of the other party, the guardian of the kid. If it's DNA on some article of clothing, or in a rape kit, you'll need the consent of those custodians as well. My point being, just because you want something tested, that doesn't mean you'll get what you want.
You should repost this question, or add more information as a comment in order to better answer your specific question.
Your question leave out some important facts and therefore cannot be answered with certainty, even though you listed the practice area as criminal. If you are in paternity court and you are ordered to submit to a DNA test because you have denied you are the father, then generally you have to pay for that test. If you are required to submit because the other denies you are the father, then generally the cost is not your responsibility. Go file a petition to proceed as a poor person under Supreme Court Rule 298. If you are approved, costs will be waived, regardless of the type of case. If you are in criminal court and the state wants a DNA test, it will be at no cost to you.
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