Final answer:
The inaccurate statement about the Eysenks' approach to personality is that they focused on the role of unconscious desires in shaping personality, which is a concept from Freud's psychoanalytic theory, not Eysenck's biologically based trait theory.
Step-by-step explanation:
The inaccurate statement about Hans and Sybil Eysenck's approach to personality is that they focused on the role of unconscious desires in shaping personality. The Eysencks developed a biologically based theory, as reflected in the Eysenck Personality Questionnaire, and they posited that personality traits are largely inherited. Their model identifies two specific personality dimensions: extraversion-introversion and neuroticism-stability (also known as emotional stability-instability). However, they did not focus on the role of unconscious desires; that was the domain of Sigmund Freud's psychoanalytic theory. Instead, the Eysencks' model was more concerned with measurable traits and their biological underpinnings, rather than the unconscious mind.