I'd like to see the raw results of the survey, especially the questions asked. (But not so much so that I am actually going to look up their sources.) I have a hard time believing that 33% of US adults actually don't think that the earth goes around the sun once a year. What seems most likely to me is that these questions were part of a lengthy survey, and were cherry picked because of their responses. Alternatively, a lengthy survey may have led to false responses. Some of these are less surprising. But I'd estimate with only 0.2 probability that at least 33% of US adults actually disagree that the earth goes around the sun once a year. I might assign probability of 0.15 that at least 49% of US adults actually believe that tomatoes don't have genes.