Let's think about the structure of this interesting question.
Speaking abstractly...
M's statement amounts to an observed phenomenon.
Q's statement offers an explanation for why the observed phenomenon is occurring.
Q's statement serves to undermine the use of the phenomenon by M to offer an alternative explanation.
Back into the words of the stimulus.
Most old people are right handed. Hmm. Why? Well maybe, right-handed people live longer. Or maybe left-handed people were taught to use their right hand for things like writing and eating. By Q offering the explanation that old people were taught to use their right hands for writing and eating, Q undermines the possible alternative explanation that right-handed people live longer. So answer choice (A) is one possible explanation of the statistic cited by M, but Q provides an alternative to this explanation. Thus, answer choice (A) is correct.
(A) is an alternative explanation undermined by Q's statement.
(B) is irrelevant. Social attitudes may or may not change, but this would not offer an alternative explanation for why so many old people are right-handed.
(C) is unsupported. There may have been harm caused by forcing people to switch handedness. Even if it were supported, it still wouldn't be correct. The correct answer should be an alternative explanation.
(D) might be tempting in that it relates handedness with genetic predispositions. This answer choice would have been better had it said that the genetic predisposition was for a longer life span.
(E) supports Q's statement but is not an alternative explanation to it.