http://psychcentral.com/news/2011/09/21/cognitive-style-tends-to-predict-religious-conviction/29646.html
Participants who gave intuitive answers to all three problems [that required reflective thinking rather than intuitive] were one and a half times as likely to report they were convinced of God’s existence as those who answered all of the questions correctly.
Importantly, researchers discovered the association between thinking styles and religious beliefs were not tied to the participants’ thinking ability or IQ.
participants who wrote about a successful intuitive experience were more likely to report they were convinced of God’s existence than those who wrote about a successful reflective experience.
I think this is the source but I can't be sure:
http://www.apa.org/pubs/journals/releases/xge-ofp-shenhav.pdf
http://lesswrong.com/lw/7o4/atheism_autism_spectrum/4vbc
There's some serious spin in this paper. They use the words "intuitive" vs "reflective" to describe answers dozens of times, whereas they use "correct" vs "incorrect" less than a dozen... but reading the actual objective description of the study, it's clear that a subject who intuitively gets the correct answer gets called "reflective" in the results, whereas a subject who reflects on the problem for a while but still gets the trick incorrect answer gets called "intuitive" in the results.
I don't think the distinction between easily tricked and not easily tricked can be best described as if they were two equally valid options of "cognitive style".