At the movies: A movie theater is considering a showing of Mac and Me for a 80's thowback night. In order to ensure the success of the evening, they've asked a random sample of 79 patrons whether they would come to the showing or not. Of the 79 patrons, 23 said that they would come to see the film. Construct a 98% 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 Mac and Me is between and

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Pp# 9: can you help me solve and understand this practice problem please? Just A-B, a step by step explanation would be appreciated. Thank you!
At the movies: A movie theater is considering a showing of Mac and Me for a 80's thowback night. In order
to ensure the success of the evening, they've asked a random sample of 79 patrons whether they would
come to the showing or not. Of the 79 patrons, 23 said that they would come to see the film. Construct a
98% 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 Mac and Me is between
and
c) The theater is only willing to show Mac and Me if they are confident that at least 40% of their patrons
would be interested in seeing the film. Should they show it?
Transcribed Image Text:At the movies: A movie theater is considering a showing of Mac and Me for a 80's thowback night. In order to ensure the success of the evening, they've asked a random sample of 79 patrons whether they would come to the showing or not. Of the 79 patrons, 23 said that they would come to see the film. Construct a 98% 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 Mac and Me is between and c) The theater is only willing to show Mac and Me if they are confident that at least 40% of their patrons would be interested in seeing the film. Should they show it?
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