Children as Young as 2 Years of Age, Upon Seeing $35 \%$

Essay

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 know proportion for the home setting when children are in a laboratory situation.
a) What is the appropriate null hypothesis in this study?
b) What is the appropriate alternative hypothesis in this study?
c) In the context of this study, describe a Type I error and a Type II error.