As Dwight D. Eisenhower once said, "Leadership is the art of getting someone else to do something you want done because he wants to do it." Being a Management Analyst is not just about helping your management team to improve their business. It is also about considering how your changes or recommendations will impact the employees of the company. If you have encountered this situation, walk the interviewer through using the STAR method (Situation, Task, Action, Result).
It is essential to show that you can positively impact a variety of teams in your work, to appeal to their desires and pain points while considering all sides. If you are newer to your career, you can use an example from your post-secondary studies, perhaps discussing a time you needed to pivot your approach during a group project.