Tenant Claims He Smells Mold

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I have a tenant  has allergy problems.  He moved in a week ago and immediately after moving in he complained about not being able to breathe because "the air ducts needed to be cleaned".  After running the HVAC for a couple days with a new filter, he said he no longer has that problem.  Now he says he smells mold in the half bath.  I checked it out and I don't smell anything or see any mold.  I honestly believe that he at-least THINKS he smells mold and that he isn't just trying to get out of the lease.

What would you do?  Do I pay hundreds of dollars for an air quality test when I see no evidence of a problem?  The problem with holding him responsible for the cost of the air test if nothing is found is that there is no clear pass or fail for the test, so he could say "well there is a slighlty elevated level of this type of mold which normal people aren't allergic to, so you have to pay because I was right... Now go fix the problem"