Final answer:
A false negative result occurs when a test incorrectly indicates that a person does not have a certain condition, leading to delayed or missed diagnoses and increased burden on the health care system.
Step-by-step explanation:
A false negative result refers to a situation where a test incorrectly indicates that a person does not have a certain condition or disease when they actually do. In the context of the question, a problem caused by a false negative result in the health care system could be that individuals who require care are not identified and treated appropriately. This can lead to delayed or missed diagnoses, worsening health conditions, and increased burden on the health care system.