Science is under attack, all around our flat Earth. Yet, the answer cannot be that the ignorant people must trust those who know better: this would be a return to the principle of authority. We can and should trust science only because and to the extent that it is contendible, that everyday somebody could prove the most established theory wrong.
That is, we must trust science to the extent that it is based on wide, plural and fair debate. Unfortunately, this is the case for economics today only to a limited extent, and there is no gain in denying it.