Final answer:
New York does not require a state licensure in radiologic technology, unlike California, Texas, and Florida.
Step-by-step explanation:
The correct answer is b) New York. New York is the only state among the given options that does not require a state licensure in radiologic technology. In New York, radiologic technologists are only required to obtain a certification from the American Registry of Radiologic Technologists (ARRT) to practice. On the other hand, California, Texas, and Florida all require a state licensure in addition to the ARRT certification for radiologic technologists.