I believe you're referring to this statute from the following link:
http://www.flsenate.gov/Statutes/ind...n%2010#0742.10
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Quote:
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742.10* Establishment of paternity for children born out of wedlock.--
(4)**After the 60-day period referred to in subsection (1), a signed voluntary acknowledgment of paternity shall constitute an establishment of paternity and may be challenged in court only on the basis of fraud, duress, or material mistake of fact, with the burden of proof upon the challenger, and under which the legal responsibilities, including child support obligations of any signatory arising from the acknowledgment may not be suspended during the challenge, except upon a finding of good cause by the court.
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The bolded part shows the conditions under which voluntary acknowledgement of paternity can be overturned after the 60-day period. It's possible that the other man will be able to disestablish paternity, but it's also possible that, after 3.5 years, it will not be allowed. In any case, he will be responsible for child support. If he goes to court to disestablish paternity, he will still be responsible until the case is decided. If he successfully challenges paternity in court, then you will be ordered to submit to paternity testing. Until then, you do not have to take the test.