At the movies: A movie theater is considering a showing of Puppet Master for a 80's thowback night in order to ensure the success of the evening, they've asked a random sample of 61 patrons whether they would come to the showing or not. Of the 61 patrons, 34 said that they would come to see the film. Construct a 95% confidence interval to determine the true proportion of all patrons who would be interested in attending the showing

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
icon
Related questions
Question
At the movies: A movie theater is considering a showing of Puppet Master for a 80's thowback
night in order to ensure the success of the evening, they've asked a random sample of 61 patrons
whether they would come to the showing or not. Of the 61 patrons, 34 said that they would come to
see the film. Construct a 95% 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 three decimal places, and list the lower bound first.
% confident that the true proportion of patrons interested in
"We are
attending the showing of Puppet Master is between
and
c) The theater is only willing to show Puppet Master if they are confident that at least 40% of their
patrons would be interested in seeing the film should they show it?
?
Check Answer
Transcribed Image Text:At the movies: A movie theater is considering a showing of Puppet Master for a 80's thowback night in order to ensure the success of the evening, they've asked a random sample of 61 patrons whether they would come to the showing or not. Of the 61 patrons, 34 said that they would come to see the film. Construct a 95% 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 three decimal places, and list the lower bound first. % confident that the true proportion of patrons interested in "We are attending the showing of Puppet Master is between and c) The theater is only willing to show Puppet Master if they are confident that at least 40% of their patrons would be interested in seeing the film should they show it? ? Check Answer
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning