At the movies: A movie theater is considering a showing of The Neverending Story for a 80's thowback night. In order to ensure the success of the evening, they've asked a random sample of 75 patrons whether they would come to the showing or not. Of the 75 patrons, 22 said that they would come to see the film. Construct a 99% confidence interval to determine the true proportion of all patrons who would be interested in attending the showing. a) What is the point estimate for the true proportion of interested patrons? (please input a proportion accurate to four decimal places) b) Complete the interpretation of the confidence interval. Please provide the bounds for the confidence interval in decimal form, accurate to four decimal places, and list the lower bound first. "We are % confident that the true proportion of patrons interested in attending the showing of The Neverending Story is between and c) The theater is only willing to show The Neverending Story if they are confident that at least 40% of their patrons would be interested in seeing the film. Should they show it? ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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At the movies: A movie theater is considering a showing of The Neverending Story for a 80's thowback
night. In order to ensure the success of the evening, they've asked a random sample of 75 patrons whether
they would come to the showing or not. Of the 75 patrons, 22 said that they would come to see the film.
Construct a 99% confidence interval to determine the true proportion of all patrons who would be
interested in attending the showing.
a) What is the point estimate for the true proportion of interested patrons? (please input a proportion
accurate to four decimal places)
b) Complete the interpretation of the confidence interval. Please provide the bounds for the confidence
interval in decimal form, accurate to four decimal places, and list the lower bound first.
"We are
% confident that the true proportion of patrons interested in attending
the showing of The Neverending Story is between
and
c) The theater is only willing to show The Neverending Story if they are confident that at least 40% of their
patrons would be interested in seeing the film. Should they show it?
? v
Transcribed Image Text:At the movies: A movie theater is considering a showing of The Neverending Story for a 80's thowback night. In order to ensure the success of the evening, they've asked a random sample of 75 patrons whether they would come to the showing or not. Of the 75 patrons, 22 said that they would come to see the film. Construct a 99% confidence interval to determine the true proportion of all patrons who would be interested in attending the showing. a) What is the point estimate for the true proportion of interested patrons? (please input a proportion accurate to four decimal places) b) Complete the interpretation of the confidence interval. Please provide the bounds for the confidence interval in decimal form, accurate to four decimal places, and list the lower bound first. "We are % confident that the true proportion of patrons interested in attending the showing of The Neverending Story is between and c) The theater is only willing to show The Neverending Story if they are confident that at least 40% of their patrons would be interested in seeing the film. Should they show it? ? v
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