Concept:
Ecological hierarchy is the organization of living systems from smallest to largest level.
• Organism $\rightarrow$ Population $\rightarrow$ Community $\rightarrow$ Ecosystem $\rightarrow$ Biome $\rightarrow$ Biosphere
Step 1: Analyze Statement I.
A biome is indeed a large geographic region characterized by climate, vegetation, and fauna.
Hence, Statement I is correct.
Step 2: Analyze Statement II.
Biome is not the fourth level. The fourth level is ecosystem.
Biome comes after ecosystem (fifth level).
Hence, Statement II is incorrect.
Step 3: Conclusion.
Statement I is correct, Statement II is incorrect.
Final Answer: Option (C)