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It's a positive anyplace if its positive. They have no way of knowing if you are in fact abstaining... and in fact many people don't. That's why they simply assume you were with no excuses...

Tell your teacher of the class the situation you are in ASAP, you don't have to do it in front of anyone else. Maybe something can be worked out...

Also you better be using alcohol free...

The reason it's a guess is because we don't know at what point it was added, how much or how long it was cooked at what temperature.

Huge difference between being added at the beginning the middle...

You have to wait to see. Its impossible to guess for certain because its impossible to guess how much alcohol remained before consumption. And how much did is the key and unknown variable.