Which type of argument does the statement about basketball and the dance represent?

The statement about basketball and the dance represents a diversion argument because it shifts the focus of the discussion away from the main topic at hand. In a diversion argument, instead of addressing the issues directly related to the argument, the speaker introduces an unrelated element, prompting the audience to consider a different perspective or frame the argument differently. This technique often serves to distract from the original argument or to sidestep certain questions or criticisms.

In the context of the other options, a diversion does not involve attacking a person's character (which would be an ad hominem), nor does it pose a questionable premise embedded within a question (which would classify as a complex question). Additionally, it does not misrepresent an opponent's argument to create a straw man, as a straw man involves directly confronting a distorted version of the argument rather than changing the subject entirely. By redirecting attention to basketball and dance, the statement exemplifies the nature of a diversion in persuasive dialogue.