The General Social Survey asked respondents: "How interested would you say you personally are in politics?" Answers ranged from 'very interested' to 'not at all interested.' I measure IQ with a 10 question vocabulary quiz (sample size = 1,141):
Look at how those scoring a perfect score on the test are much more interested in politics than any other group. To get precise, the correlation between the two variables is .20 -- a moderate relationship.
Now for the women (sample size = 1,507):
The female pattern is similar to that for men. The correlation is slightly weaker -- .18. The gender gap is pretty visible at the highest IQ level: 16.8% of these women have little or no interest, compared to only 5.4% of the men.