Final answer:
The statement "I become violent when I am angry" for distinguishing hostility would be used in a self-report personality assessment method.
Step-by-step explanation:
If agreeing or disagreeing with the statement "I become violent when I am angry" distinguishes a hostile person from a nonhostile person, this statement would be used in the self-report method of personality assessment. Self-report inventories are designed to have individuals provide information about themselves directly and explicitly, by agreeing or disagreeing with specific statements. This method contrasts with projective tests, which rely on ambiguous stimuli to elicit responses that are thought to reveal the unconscious mind, or observational techniques where a third person observes and evaluates someone's behavior. The self-report method is straightforward and relies on the individual's own perceptions and self-assessments of their traits and behaviors.