Answering the OP.
To me, it mostly depends on which people are there in the meeting. Do I really need to assert myself as the boss otherwise they just goof off? Or are they good co-workers willing to do effort? In the first case, I would be really embarassed - because, yes, they are right, but they will see it as a "win" (we were right and she was wrong!) and making me feel like I "lost" a bit of my authority again.
In the second case, I would simply answer: "Wow, you're right. Which date do you propose then?", agree on a new date and communicate this to my superior with the very same reasons. If they are true for me, they are true for my superiors too! I wouldn't see this as a problem but as a helpful solution.
I'm of course thinking of two different classes. One of them really fought against me and saw every little mistake as a reason to whine and to complain. I didn't want to make mistakes there; they always sought for problems and for reasons why I was the worst teacher ever and why they shouldn't work or study. Every stupid thing that went wrong - even if it was just a forgotten minus sign on the blackboard - was cause for concern and worries for DAYS afterwards.
On the other hand, I had a very nice class too. When there was a mistake on the blackboard, they just pointed it out, I corrected it and I forgot the incident. It wouldn't take a minute. And when they asked to postpone a test, I didn't really see problems with that either. I felt at ease with that class.