2. Children as young as 2 years of age, upon seeing an object placed under a pillow in a familiar setting at home, will later remember where to look for about 35% of the time. Investigators believe this capability will be less pronounced in a laboratory situation, where the child is away from the familiar setting of home. Let p denote the proportion of 2-year-olds who remember in the laboratory situation. Investigators wish to determine whether the proportion of 2-year-olds who remember where to look is smaller than the known proportion for the home setting when children are in a laboratory situation.

(a) What hypotheses should you set? (b) Describe a type I and type II error in the context of this problem.