I have seen this clip on a number of sites recently:
While I agree her answer is poor, I think everything has to do with context. Anyone asked such a question might have a tough time answering it without saying something obvious (and negative) like: the US education system is lacking. Or the people who can the survey did a poor job. Plus you are on stage, you have a set period of time to answer it, and some of the questions you may have been preparing to answer don’t come up.
So why the popularity of the clip? I think it is because of the context. I think it allows people to vent such things as envy or disgust or anger at the Miss USA pageant, and to do so in a simple way: displaying the clip.
One of the dark sides of Web 2.0 is the ability for anyone to create propaganda. Now this clip is a fairly benign example, but it is part of a recent trend of people trying to shape political messages and spread them via YouTube and other means. Just recently it was about using YouTube to expose the truth. Now it will be about using YouTube to shape the truth.