Final answer:
Dr. David should wake his participants after 90 minutes of sleep to study brain activity during REM sleep, the stage where dreaming is most prevalent.
Step-by-step explanation:
Understanding Sleep Stages and Dream Research
When conducting research on dreaming, Dr. David would most likely wake his participants after they have been asleep for about 90 minutes; this is when they are in REM sleep. REM, which stands for Rapid Eye Movement, is the sleep stage characterized by rapid movements of the eyes, brain waves that closely resemble wakefulness, and is where dreams typically occur. REM sleep is noted for its high brain activity and muscle atonia (paralysis except for the muscles that control respiration and circulation). This stage can be preceded by the three NREM (non-REM) stages of sleep, which shows a progression from light sleep in Stage 1 to deep or slow-wave sleep in stages 3 and 4 marked by delta waves.