Final answer:
The parent's statement that correctly indicates an understanding of sleep promotion methods is to keep a dim lamp on in the child's room during the night, which aids in providing a secure environment without disrupting the child's sleep pattern.
Step-by-step explanation:
The statement made by the parent that indicates an understanding of the teaching on methods to promote sleep for a preschool age child is D. I will keep a dim lamp on in my child's room during the night. This answer reflects the recommendation to create a comfortable and consistent sleep environment, which can help children feel secure and avoid fear of the dark, potentially promoting better sleep habits.
Having a consistent sleep schedule and avoiding stimulating activities before bedtime are also important strategies. Letting a child stay up later on weekends or allowing them to watch television before bed can disrupt their sleep patterns and make it harder to fall asleep. Sleeping in the same bed as the child when they wake up can create dependencies that further disrupt healthy sleep habits.