Step 1: Understanding the Concept:
Taxonomic nomenclature strictly differentiates true rust fungi from other pseudo-rust oomycete plant pathogens.
Step 2: Detailed Explanation:
1. Statement I is correct: True rust diseases of crop plants (e.g., cereal rusts, coffee rust, bean rust) are caused exclusively by obligately biotrophic fungi belonging to the order Pucciniales (formerly Uredinales) within the phylum Basidiomycota (Basidiomycetes).
2. Statement II is false: Fungi-like straminipilous organisms (phylum Oomycota) cause downy mildews, damping-off (Pythium), and white rust white blister (Albugo candida), which is not a true rust.
Step 3: Final Answer:
Thus, Statement I is correct but Statement II is false.