What can an umpire do if a mistake is made after the game has ended?

The correct action for an umpire to take after a mistake has been made following the end of a game is to call the referee back to correct the mistake. This option is based on rules that govern basketball officiating, which allow for the correction of significant errors that could impact the outcome of the game.

In cases where a play results in a critical misunderstanding or misapplication of the rules, the umpire has the authority to address this immediately through communication with the referee. This ensures that the integrity of the game is preserved and allows for an appropriate resolution to issues that affect the final outcome.

The other choices indicate alternatives that do not align with proper officiating protocols. Correcting a mistake without notifying the referee could lead to further complications or confusion, as it undermines the collaborative nature of officiating. Merely informing the referee in the next game does not provide an immediate remedy, allowing an error to stand beyond its impact. Resetting the game clock and replaying a period would require a significant protocol that is not typically permitted after a game has concluded, making it impractical for most situations. Consequently, the approach of direct communication and correction through the referee remains the most appropriate and effective course of action.