Which of the following species is NOT a common structure-infesting cockroach?

The wood cockroach is not considered a common structure-infesting cockroach, which makes it the correct answer in this context. This species typically prefers outdoor environments, particularly in wooded areas and does not frequently invade homes or buildings like other cockroach species.

In contrast, the American cockroach, brown-banded cockroach, and German cockroach are all known for their ability to infest structures. The American cockroach is often found in basements, sewers, and other damp environments, while the German cockroach is one of the most notorious pests in homes due to its rapid reproduction and tendency to dwell in kitchens and bathrooms. The brown-banded cockroach, although less common than the German cockroach, can also be found indoors, often in warmer areas of a structure.

Thus, understanding the habitat preferences of these cockroach species highlights why the wood cockroach is distinct and less concerning within structural infestations.