What term describes a written statement that expresses prejudice against a group based on their race, gender, or other characteristics?

The term that best describes a written statement expressing prejudice against a group based on characteristics such as race or gender is hate speech. Hate speech typically refers to any form of communication, whether written or spoken, that incites violence or prejudicial action against a particular group or individuals. It targets specific characteristics and aims to demean, marginalize, or intimidate individuals based on their identity.

In contrast, while "discriminatory statement" indicates a similar concept of prejudice, it is more specific and lacks the broader implications of encouraging harm or promoting societal division that hate speech encapsulates. Terms like "stereotype" and "bias rhetoric" refer to generalized beliefs or biased language but do not fully convey the intensity or the harmful intention inherent in hate speech. Thus, hate speech is the most accurate and encompassing term for a written statement expressing such prejudice.