Final answer:
The statement is false. Active transport requires energy to move molecules against their concentration gradient, whereas the movement of molecules due to random molecular motion is known as diffusion.
Step-by-step explanation:
The movement of particles in response to random molecular movement is incorrectly identified as active transport in the statement. Active transport actually refers to the movement of molecules from an area of low concentration to an area of high concentration, against their concentration gradient, and requires energy, typically in the form of ATP. The correct term for the movement of particles due to random molecular movement is diffusion, which is a type of passive transport and does not require energy.