A study examined the interactions in achildren's museum.(Interactions by visitors to the museum includedshow-and-tell, learning,teaching, refocusing, participatoryplay, advocating, and disciplininginteractions.) Researchers observed a sample of 182 meaningfulinteractions, of which 87 were led by children and 95 were led by adult caregivers. Complete parts a through d below.

a. Give a point estimate of the true proportion of all meaningful interactions in achildren's museum that are led by children.

Answer for a.=The point estimate is 0.478

b. Form a 95% confidence interval around theproportion, part a.

c. Interpret the interval, partb, in the words of the study.

d. Suppose an educator claims that the true proportion of all meaningful interactions in achildren's museum that are led by children is 36%. Make an inference about this claim.