Statistics does fit into that, as one particular species of correctly using empirical evidence. But most freshmen students aren't even constructing coherent arguments in the broad sense; having a technical knowledge of statistical theorems isn't the main bottleneck. This is actually a common problem in my classes: technically-solid students who can't write a coherent essay-length or blog-post-length argument in favor of or against a point. The better students tended to have taken at least a Philosophy 101 course, which taught them how to write a basic "argument for or against a position" paper. Once you have that, there's a pretty good basis on which to expand the argumentation toolbox with statistical arguments.