Final answer:
The false statement is that rats should never be picked up by the scruff of their neck, as this is actually an acceptable handling method when done properly.
Step-by-step explanation:
The false statement among the ones provided is: rats should never be picked up by the scruff of their neck. It is actually a common and acceptable method to handle rats by gently holding the scruff of their neck. This allows for restraint without causing harm when done correctly.
Picking up rats by the base of the tail for a short time can be done cautiously, but it should never be the primary method of handling as it can cause injury. It is often better to grasp around their thorax and abdomen when lifting them. If a firm restraint is needed, wrapping rats in a towel can be an effective method to prevent them from squirming or getting away without harm.