Hi Vicki 7411!
You write,
I am confused about this whole unqualified statement business because one of the flaws that we learned is that what applies to a whole group does not necessarily apply to its individual parts, and that what applies to individuals in a group does not necessarily apply to the group as a whole.
You're absolutely right to keep those pointers in mind. It's important an eye out for confusion that the LSAT makers might be trying to convey about characteristics of a group verses individual members. I'll answer by sticking specifically to the groups/individual parts as its tested on this question.
This argument rests on a sole fact: the global human population only uses a fraction of the supply of fresh water. From that premise, the author draws a conclusion--people are therefore mistaken if they think that humankind is going to experience water shortages in the near future. This is a great question for taking a few seconds after reading the stimulus and question stem to prephrase what you think might be the right answer.
The first thing that came to my mind is that perhaps the vast majority of the fresh water supply is all within one country, that doesn't share any of it with others. If that were true, it would weaken the conclusion that people are mistaken in thinking there could be a water shortage in the near future. Or, perhaps nearly all of that fresh water supply is within one country that shares it but at an exorbitantly high cost--again, if that were true, it would weaken the author's conclusion. Yet another possibility is that perhaps there are many countries in which this fresh water supply can be found, but the cost of transporting it to people lacking fresh water access is prohibitively high. All of these prephrases are possibilities that would weaken the author's conclusion about certain claims being mistaken.
Further, they are reflected in answer choice (B): "The amount of fresh water available to meet the needs of Earth’s population varies significantly from region to region." If this were true, it would weaken the author's argument because it highlights that what is true of the whole (humans only use a fraction of fresh water) is not necessarily true of the individual parts (some countries don't have as good access as others to fresh water). Maybe they lack finances to purchase it, maybe they don't have freshwater wells within their own country, maybe there aren't good transportation networks--all of these are possibilities about individual countries that could be true, despite the global facts. Prephrasing can help bring such information to the surface.