The pivotal moment in the War of Independence in the U.S. was the Battle of Saratoga in 1777. This conflict marked a turning point in the war, where American forces decisively defeated British troops. The victory at Saratoga had significant repercussions; it bolstered American morale and convincingly demonstrated to potential allies, particularly France, that the Americans had a viable chance of winning the war. This led to the formal alliance with France in 1778, which provided crucial military support, ultimately aiding in the American victory over Britain and contributing to the establishment of the United States.