Final answer:
The false statement is about the export of naive T cells and B cells to the bone marrow and the determination of foreign substance recognition by genes instead of antigens.
Step-by-step explanation:
A false or incorrect statement in the given options is: After becoming immunocompetent, the naive T cells and B cells are exported to the bone marrow where the encounters with antigens occur. Naive T cells and B cells are exported to the secondary lymphoid organs, not the bone marrow, where they encounter antigens. The lymphoid organs where lymphocytes become immunocompetent are called primary lymph organs, while other lymphoid organs are referred to as secondary lymphoid organs. It is our genes, not antigens, that determine what specific foreign substances our immune system will be able to recognize and resist. Our genes determine the specificity of our immune system's receptors, which allows recognition and resistance against specific foreign substances.