In Star Wars: A New Hope (ep. IV), Grand Moff Tarkin informs the Imperial officers that the Emperor has just dissolved the former Republic's Senate and that in addition to control by Imperial governors "fear will keep the local systems in line, fear of this battle station." Admiral Motti says that the Death Star "is now the ultimate power in the universe. I suggest we use it." Vader warns him "Don't be too proud of this technological terror you've constructed. The ability to destroy a planet is insignificant next to the power of the Force." Motti retorts with "Don't try to frighten us with your sorcerer's ways, Lord Vader. Your sad devotion to that ancient religion hasn't helped you conjure up the stolen data tapes, or given you enough clairvoyance to find the rebels' hidden fortre-" just before Vader Force-chokes him, only to be stopped by Tarkin.
One of the subordinate officers suggests "We've analyzed (the Rebel fighters') attack, sir, and there is a danger. Should I have your ship standing by?" Tarkin: "Evacuate in our moment of triumph? I think you overestimate their chances."
Meanwhile, only two of the X-wing Red squadron successfully manage to approach the Death Star's thermal exhaust port: Red Leader, who keeps his navigational computer turned on, only for his torpedoes to miss the mark just before he gets shot down, and Luke Skywalker (Red-5), who turns off his navigation at the urging of Obi-Wan Kenobi's ghost, and even Vader, who manages to survive, remarks "The Force is strong with this one" as Luke trusts the Force, and his one-in-a-million shot (with help from the Force's guidance) successfully blows the Death Star (and the arrogant Tarkin) to countless fragments.
On the Dark side, those who trusted in the Death Star's power are never heard from again and Vader, whose Dark Force pwoer is second only to the Emperor's, manages to survive, while Luke, who trusts in the Force and deactivates his radar survives, in contrast with Red Leader, whose shot misses in spite of using his radar and gets blown away.
Is there some sort of specific trope where the Force makes the difference in a battle's outcome?