(A), if anything, would strengthen the argument's conclusion.
The study suggests that about 1/2 of dogs will be left handed and 1/2 will be right handed.
The conclusion says that this study's finding is probably wrong.
(A) seems to suggest that dogs are neither left handed nor right handed.
Does (A) agree with the study? No. (A) seems to describe dogs that show no preference for one leg or the other. Thus, (A) goes AGAINST what the study is suggesting.
If (A) goes AGAINST what the study is suggesting, then it would actually strengthen the conclusion (the conclusion says the study is probably wrong).
Naturally, none of this matters to the question.
And, (A) doesn't really give us any reason to believe that the dogs observed are "neither-handed". After all, being left-handed means you show a PREFERENCE for the left limb, not that you use the left limb exclusively. (A) doesn't give us any information about whether the frequency of left leg scratching is more or less than that of right leg scratching. So the fact that sometimes dogs scratch with left, sometimes with right, has no power to affect this whole left-handed vs. right-handed conversation in any way.
Hope this helps.