The 1902 AL batting championship was awarded to Ed Delahanty at the time, and the Baseball Hall of Fame's statistics still credit Delahanty as the champion over Lajoie. The Hall of Fame lists Lajoie's 1902 stats as being 129 H / 352 AB / .368 BA, while Baseball-reference.com lists them as 133 H / 352 AB / .378 BA, which would place Lajoie above Delahanty.
Additionally, Lajoie had only 371 plate appearances to Delahanty's 535 or 536 (depending on which source you use), so there may also have been an issue of eligibility — Lajoie's 371 plate appearances falls well below the 424 that would be required under the current 3.1 plate appearances per team game standard of eligibility, and adding 53 hitless at bats would drop his average to .314.
This discrepancy is somewhat significant, as Delahanty is regarded as the only player to win a batting title in both leagues (.410, 1899 Phillies), as of the end of the 2005 season.