A study examined the interactions in a children's museum. (Interactions by visitors to the museum included show-and-tell, learning, teaching, refocusing, participatory play, advocating, and disciplining interactions.) Researchers observed a sample of 180 meaningful interactions, of which 86 were led by children and 94 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 a children's museum that are led by children. The point estimate is 0.478. (Type an integer or decimal rounded to three decimal places as needed.)

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b. Form a 99​% confidence interval around the proportion, part a.

c. Interpret the ​interval, part​ b, in the words of the study.

A study examined the interactions in a children's museum. (Interactions by visitors to the museum included
show-and-tell, learning, teaching, refocusing, participatory play, advocating, and disciplining interactions.) Researchers
observed a sample of 180 meaningful interactions, of which 86 were led by children and 94 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 a children's museum that are led by
children.
The point estimate is 0.478.
(Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:A study examined the interactions in a children's museum. (Interactions by visitors to the museum included show-and-tell, learning, teaching, refocusing, participatory play, advocating, and disciplining interactions.) Researchers observed a sample of 180 meaningful interactions, of which 86 were led by children and 94 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 a children's museum that are led by children. The point estimate is 0.478. (Type an integer or decimal rounded to three decimal places as needed.)
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