Not necessarily. The correlation actually is to prolonged exposure to unenlightened propagandizing by science-illiterate "ministers", taught by intellectually-inbred "professors" who think they can treat the few sentences in Genesis as if they were a graduate-level science text.
And the fire is kept smoking along by money-hungry YEC scamsters who deliberately (and/or egotistically) misinterpret Genesis and prey on the scientifically ignorant.
So who cares about this "poll?" Polls are measures of opinion, not of facts, let alone Truth.
Opinions are what Plato called doxa, in contrast to sophia (wisdom). We live in an age that regards every man's opinion as just as good (or bad) as any other man's. If that's the case, then why should we rely on public opinion polls? If opinions are morally neutral — as it has become fashionable to regard them — then how can we tell whether they are "good" or "bad?" And if we can't tell that, then what good are they in helping us resolve contentious problems involving man, world, science, and society?
I do take your point, dear brother in Christ, about the inverse correlation in the poll numbers that reflects the divergence between (1) increasing confidence in big bang theory and science generally and (2) traditional belief in the Creator God; and thus this divergence's fruitfulness for proselytizing one's opinion from either aside of the divide. It is such of which Towers of Babel are constructed: Doxa is not our friend.
Personally, I believe both in Genesis and the Big Bang, and do not find them in conflict in the least. FWIW. For God reveals Himself to us in both....
Thank you so much for writing, dear brother!