What was the significance of the battle of saratoga

His surrender to American forces at the Battle of Saratoga marked a turning point in the Revolutionary War. The Battle of Saratoga was the turning point of the Revolutionary War. The scope of the victory is made clear by a few key facts: On October 17, 1777, 5,895 British and Hessian troops surrendered their arms

To be honest i thinks its between the first answer and the third answer