A dictionary is not literally the ticket to university. It's more like a symbol of what's going on in the family, and what kind of family the prospective student comes from.
More research is now available suggesting that family income, while important, isn't the major determinant of who goes to university. It turns out that parents' own education levels – and, by extension, the importance they place on education – are more critical than income, and that what we might call “cultural” factors are more important than money.
Here's my question - can your preference in regard to said dictionary influence where your child will study?