Final answer:
The EMTs should suspect that the patient overdosed on an opioid drug.
Step-by-step explanation:
The EMTs should suspect that the patient overdosed on an opioid drug. Naloxone, also known as Narcan, is an opioid antagonist used to reverse the effects of opioid overdose. It works by blocking the opioid receptors in the brain, which helps to restore normal breathing and consciousness. When a family member states that they administered naloxone to the patient, it indicates that the patient likely experienced an opioid overdose.