Final answer:
The hospital registry's database should be compatible with industry standards and interoperable with the State registry's database.
Step-by-step explanation:
The correct statement(s) regarding interoperability and compatibility are:
1) A hospital registry's database should be compatible with industry standards.
2) A hospital registry's database should be interoperable with the State registry's database.
Therefore, the correct answer is (3) Both (a) and (b).