Chicago/Turabian style is generally used by Business, History, and the Fine Arts.
So when you are submitting writing samples for a job, this is probably the best format to use for research paper samples.
“Unlike many citation styles, CMOS gives writers two different methods for documenting sources: the Author-Date System and the Notes-Bibliography (NB) System. As its name suggests, Author-Date uses parenthetical citations in the text to reference the source’s author’s last name and the year of publication. Each parenthetical citation corresponds to an entry on a References page that concludes the document. In these regards, Author-Date is very similar to, for instance, APA style.”