"There have been times throughout my training when I've encountered two parties who disagreed with each other. A resolution can typically be found after I encourage respectful discussion and compromise. Other times, I have to bring in a stakeholder to hear both sides and make the final determination. One scenario in which I would escalate the issue is if there is a resource conflict. For example, if employees are being pulled off project work to handle operational work instead. Naturally, this kind of issue can threaten the project's timeline so, in this case, I would reach out to a stakeholder to explain the urgency and importance of the project and to agree on a workable solution, which might be to gain a replacement or accepting a change in the project's timeline. Whatever the outcome, it's also up to me to communicate these changes and/or solutions to everyone."

Explain to the interviewers the process you follow in situations like this and what would provoke you to do so in the first place. You'll want to reiterate that you would exhaust all of your problem-solving techniques first, prior to taking any further action.