Final answer:
The claim that hockey and lacrosse were established as Canada's national sports at the time of Confederation is false. These sports were officially recognized much later, in 1994, with the National Sports of Canada Act.
Step-by-step explanation:
The statement regarding Canada's Confederation and the National Sport Act is false. Hockey and lacrosse were not established as Canada's national sports at the time of Confederation in 1867. Instead, hockey was officially declared the national winter sport and lacrosse the national summer sport much later, with the National Sports of Canada Act in 1994.
Lacrosse indeed has deep roots in Indigenous cultures, particularly those in what is now Canada. The game was initially played by Indigenous peoples and is a significant part of Canada's historical sports heritage. Despite lacrosse's historical connection, its official recognition alongside hockey as a national sport happened in the late 20th century, not during the 19th-century Confederation.