There is a scientific question here (meaning it can be tested in a way that is measurable and repeatable).
Are people more correct when they stick with their intuition? Or are we more correct when they take time to consider our answers using reason and evidence? (This is the question we are debating, right?)
Of course this research has been done. It turns out that intuition is quite often measurably wrong and that reasoned thought makes it much more likely that you will get the correct answer.
You can read about this yourself -- http://www.psychologicalscience.org/observer/getArticle.cfm?id=1572
-- People do better on tests when they reconsider and change their initial answers.
-- On average when asked how many murders there are in a year in Michigan people will intuitively make guesses with a median 100. When asked how many murders there are in Detroit people will guess a median of 200. Pointing out the fact Detroit is in Michigan will lead to a better "intuition".
The purpose of intuition is to make quick decisions when there isn't time for reasoned thought. The science says the same thing that I am saying. When there is time for careful thought, reason does much better than intuition.