Final answer:
The frescoes depicting good and bad government in Siena were funded by the governance of Siena, not by the Medici, the Vatican, the Sforza, or the Borgia family. They were painted by Ambrogio Lorenzetti in the Sala della Pace of the Palazzo Pubblico in Siena.
Step-by-step explanation:
The work depicting the allegory of good government, effects of good government in the city and the country, and allegory and effects of bad government in the city and the country was paid for by the governing body of Siena, not by any of the families listed in the options. Ambrogio Lorenzetti created these frescoes between 1337 and 1340 for the Sala della Pace (Hall of Peace), also known as the Sala dei Nove (the Hall of the Nine), in the Palazzo Pubblico, Siena. Neither the Medici, the Vatican, the Sforza, nor the Borgia family were responsible for commissioning this work. The Medici family was indeed a significant patron of the arts, but their patronage primarily flourished in Florence, particularly during the Renaissance period, which came after Lorenzetti's frescoes were completed.