1) Children as young as 2 years of age, upon seeing an object placed under a pillow in a familiar setting at home, will remember where to look for it after an interval of time. Investigators believe that 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 that have this understanding in the home situation, and suppose that p = 0.35. Investigators wish to determine whether the proportion that remembers is smaller when the child is away from home. (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 and a Type II error.

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