Individuals with inherited thalassemia trait often have red blood cells that are small. Although thalassemia carriers are most common in the populations you mentioned, it is not limited to only non-Caucasians -- it is present, for example, in Italian, Portuguese, and Greek populations as well.
Since people who inherit a thalassemia gene may have smaller RBCs, it can result in slightly lower iron levels, but the good news is, as a rule, having thal trait does NOT affect the general health of the individual. Many people who are thal carriers go through life never knowing they have the trait. Diagnosis of thalassemia can be done either through a blood test called hemoglobinelectropheresis, or by gene sequencing.
In terms of your own health, if it turns out that you that you have thalassemia trait, do not panic, as it usually does not have any significant impact on your health. However, it will be something that you will want to address with your ob/gyn and/or a medical geneticist if you are considering starting a family or planning pregnancy in the near future.
I think your answer is wrong-read hundreds of other posts about thal minor (real people-not statistics). I'm a 46 y/o woman w/Thal trait (brother had major):About me: I fainted a lot when I was a kid, unusually low energy, sallow appearance and dark circles, depression (due to low energy), no thirst-get dehydrated, heavy periods, low exercise tolerance. I've just lived with it knowing my limits.