Let's analyze the statements one by one:

Statement I: Glycogen is similar to amylose in its structure.

This statement is not correct. Glycogen and amylose are both polysaccharides, but they have different structures. Amylose is a linear polymer of glucose units linked by α-1,4-glycosidic bonds, which makes it a component of starch. Glycogen, on the other hand, is a highly branched polymer of glucose with α-1,4-glycosidic bonds in the linear chains and α-1,6-glycosidic bonds at the branching points. This high level of branching makes glycogen structurally distinct from amylose.

Statement II: Glycogen is found in yeast and fungi also.

This statement is correct. Glycogen is a form of energy storage in many organisms, including animals, plants, bacteria, and fungi. In fungi and yeasts, glycogen serves as a reserve of glucose which can be mobilized when needed.

Therefore, the correct option is:

Option B

Statement I is false but Statement II is true.