Can a hypothesis test yield a statistically significant (say p<=0.05), yet practically meaningless result? Give an example of how this might happen.

Your are talking about the difference between statistical and practical significance.

I searched Google under the key words "statistical practical significance" to get this:

http://www.google.com/search?client=safari&rls=en&q=statistical+practical+significance&ie=UTF-8&oe=UTF-8

In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.