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 of $n = 200$ children, and 50 of the children remembered where to look for the object in the setting that was away from home.
a) Describe the shape, center, and spread of the sampling distribution of $\hat { p }$ if the null hypothesis $H _ { o } : p = 0.35$ were true.








b) Is there convincing evidence that the null hypothesis is not true, or is $\hat { p }$ consistent with what you would expect to see if the null hypothesis were true? Carry out a hypothesis test to answer this question.