I used to not really know which clock or watch is accurate and had great faith in my own watch as the most accurate (as long as it isn't more than 5 minutes off from classroom clocks). I mean, back then, everybody's watch/clock shows a different time. So meetings take place "5" minutes after; being 5 minutes late might actually mean on-time, etc. The only time I ever set my watch to the "correct" time was when I bothered to call the phone company; most of the time I set my digital watch just once against the nearest clock after buying it.
So, you can say, my acceptable accuracy was 5 minutes or less back then.
Today, my watch syncs to WWVB every night. So, its time is always within 1 second of the atomic clock's time. But I don't need 1-second accurate in my watch for the things I do, would be comfortable using a watch that is less accurate.
But, I don't think I can go back to "within 5 minute" accuracy anymore, given all this technology and the very accurate time others have. Today, my acceptable accuracy is 1 minute.
What is yours?
To put it another way, how inaccurate does your daily wear watch has to become for you to feel uncomfortable and for you to want to set it?
(Unfortunately, I can't figure out how to change the poll to add resolution in to the 1 minute choice. I think Mike is right; that poll choice is a bad one)