The hiring company wants to see that, as a highly visible leader in their organization, you bring self-awareness, maturity, and professionalism. While you do not always have to agree with everyone, the interviewer wants to see that you respond appropriately in the face of conflict. The key to successfully answering this question is to impress upon the interviewer that you are a respectful professional who treats others fairly. If you are newer to your career, you can draw from a post-secondary example (perhaps you had a conflict with a professor or on a team project).