In municipalities without a police and fire commission, who has authority to hire police officers?

In cities without a police and fire commission (i.e., cities under 4,000 in population), the mayor appoints all police officers. Mayoral appointments are subject to council confirmation unless otherwise provided by law. Sec. 62.09(3)(e). Sec. 62.09(8)(d), Stats. In villages without a police and fire commission (i.e., villages under 5,500 in population), the village board hires all police officers.