The Rasmussen question reads ...
Should the National Security Agency be allowed to intercept telephone conversations between terrorism suspects in other countries and people living in the United States?
The AP poll wording is apt to confuse readers, as it has the phrase "between US Citizens" in it, which NO DOUBT, some people will take as meaning that, without reading further. Also, the AP poll was whether or not a warrant should be required, but the Rasmussen poll doesn't say one way or the other. Here, some (maybe even most) participants may have imputed the warrantless aspect, even though it wasn't expressed in the question.
Bravo! Well Done!
Because if it said between Americans of course people would say needs warrants.