Sometimes you'll guess the Word just as time runs out, and the Mayor doesn't have time to tap the Correct button before the app announces that time has run out. Or maybe the Mayor tapped the Correct button accidentally, when the Word actually had not been guessed.
Either way, you can get things back on track by tapping the Whoops button in the lower right; this will display the other endgame condition than the one currently shown on the app,.