I didn't see in the article, but I would be interested to know what the breakout of actual degrees sampled was.

I can locate most countries without labeling (perhaps some countries like Uzbekistan I would struggle with), but I do think there is an issue with this statement describing Americans:

is the geographically most illiterate society of consequence on the planet, at a time when United States power can affect countries and peoples around the world.

This presumes that the US should affect countries and peoples around the world. It also assumes that the American people have an interest or direct authority in decisions regarding these places. They do not.