Final answer:
The statement is false because genes on the same chromosome can undergo crossing over during meiosis, leading to independent assortment if the genes are far apart on the chromosome.
Step-by-step explanation:
The statement that linkage always occurs when two loci are on the same chromosome is false. While genes located on the same chromosome are generally linked and tend to be inherited together, they can be separated by crossing over during meiosis. The probability of crossing over occurring between two genes increases with the distance between them on the chromosome. Genes that are far apart on the same chromosome may assort independently, much like genes on different chromosomes.