An enterprise architect must convince stakeholders and work in a team setting. However, this may not be easy in every instance. You will not always work with professionally like-minded people, so there might be a conflict. The interviewer may throw such questions at you to test your verbal ability and skills regarding convincing and other personal traits. While answering this question, do not sound arrogant. Instead, discuss how you will take time and why others have disliked your verdict. And what points you will use to convince them. Remember to sound polite. Your answer can be, "To handle such a situation, It is first necessary to convey to the team members what you envision. Sometimes, the disagreement would be due to miscommunication. If still, the verdict is disliked, I'd take time to consider my colleague's approaches regarding the verdict. However, in the meantime, I will also try to convince them, based on the incomplete data, that this is what we expect. I strongly believe I can arrive at such conclusions as I carry thorough research before I promote those conclusions". If you have previous work experience, justify your answer by quoting a past instance that put you in such a situation and how you handled it successfully.