The Out-of-Africa hypothesis is still one that seems relevant, but the arrival of H. sapiens in North America is becoming more and more debatable.
Step-by-step explanation:
The Out-of Africa hypothesis is one that suggests that the hominids evolved in Africa, and from Africa they started to migrate on other continents. The hominids that managed to get out of Africa and on to the other continents were the H. erectus and later H. sapiens. About this hypothesis there is a general consensus, as so far all the evidence point to it.
The arrival of H. sapiens in North America though has become more debatable in the past couple of decades. Initially, which is still the most widely accepted hypothesis, is that the H. sapiens migrated to North America through the Bering Land Bridge at the end of the last Ice Age. The problem is that lately have been found fossils and traces of human activity that predate this by tens of thousands of years. Also, problematic is the fact that among the Native Americans the DNA suggests that they are not just descendants of people from Northeast Asia, but also from people from Northern Europe, and even Polynesia (in the southern part of North America).