STANFORD—Kevin Hogan threw four touchdown passes and drove No. 13 Stanford to the game-winning 45-yard field goal by Conrad Ukropina on the play of the Cardinal’s 38-36 victory over No. 4 Notre Dame in a playoff elimination game Saturday night.Hogan threw for 269 yards and calmly led the winning drive in the final 30 seconds for the Cardinal (10-2, No. 9 CFP), who kept their slim playoff hopes alive with the win. Stanford needs to beat Southern California in the Pac-12 championship game next week and then get help in the other title games to make the four-team playoff.DeShone Kizer had given the Irish (10-2, No. 6 CFP) a one-point lead on his 2-yard run with 30 seconds left only to see Hogan drive Stanford to the win.