Final answer:
Night terrors commonly occur during non-REM sleep, specifically during the deep sleep states of stages 3 and 4, where the individual experiences intense fear without retaining any memory of the episode.
Step-by-step explanation:
Night terrors are a type of sleep disturbance known as a parasomnia, which are unwanted, disruptive motor activities and experiences during sleep. Specifically, night terrors are most likely to occur during non-REM sleep, often during stages 3 and 4 of the sleep cycle, when the brain is in a deep sleep state. These episodes can include symptoms such as intense fear, screaming, and even attempting to escape, with the affected individuals generally having no memory of the event.