Suppose That the Study in Problem #2 Was Performed with a Random

Essay

Suppose that the study in problem #2 was performed with a random sample ofn = 200 children, and 50 of the children remembered where to look for the object inthe setting that was away from home.
a) Describe the shape, center, and spread of the sampling distribution of $\hat{p}$ if the nullhypothesis Hpo : = 0.35 were true.
b) Is there convincing evidence that the null hypothesis is not true, or is $\hat{p}$ consistentwith what you would expect to see if the null hypothesis were true?
Carry out ahypothesis test to answer this question.