True or False: Peace officers employed in New York City have the power to execute search warrants.

Peace officers in New York City do not have the authority to execute search warrants. This power is typically reserved for police officers or other law enforcement officials who have specific training and jurisdictional responsibilities that include the execution of search warrants. The ability to enforce the law and conduct searches is governed by legal statutes that ensure the protection of citizens' rights and the integrity of the law enforcement process. Therefore, stating that the statement is false is accurate based on the roles and limitations of peace officers within the context of law enforcement in New York City.

The other options suggest varying conditions under which peace officers might execute search warrants, such as needing supervisory approval or being restricted to specific hours, but none of these scenarios align with the legal framework governing the actions of peace officers in this regard.