As
@mercury said, LM is pass fail. It doesn't tell you if something is under dosed. If a sample is sufficiently under dosed, though, it may result in a fail. If a properly dosed sample is contaminated with second hormone, that could cause a fail as well. Within those specific limitations, LM tests are very reliable.
Some of us believe we can determine a little more from the results, including whether something is under dosed. There's a little bit of voodoo in that kind of analysis, and as Dr Jim has said that information is not reliable. In my mind under dosed is the same as a fail.
Not sure what you are implying w.r.t. random samples. The posters of both LM tests in this thread are above suspicion IMO.