Let me reword it.
1 in 70 have the carpet fiber allergy.
A new test for the allergy is proven to give a “positive” reading 92% of the time that the subject has the allergy.
It also gives a false “positive” in 2% of people who don’t have the allergy.
If Sneezy is tested, and the result is positive, what are the chances that Sneezy is allergic to the fibers?