Step 1: Understanding the Concept
The cerebral cortex has motor, sensory and association areas, each with its own function.
Step 2: Check the statements
Broca's area translates thoughts into speech, so (A) is true.
The motor area controls movements of muscles, so (C) is true.
The association area links sensation and movement, so (D) is true.
Step 3: Find the incorrect one
The premotor area lies in front of the motor area and is the higher centre for involuntary movements and the autonomic nervous system. Calling it the centre of voluntary movements and the peripheral nervous system is incorrect.
Final Answer:
The incorrect statement is the one about the premotor area.
\[ \boxed{\text{(B) }\text{Premotor area is the higher center for voluntary movements and the peripheral nervous system.}} \]