In a survey 100 viewers were asked the question, “Do you regularly watch “The Voice?” Of the 100, 35 answered yes. a.) Construct the 95% confidence interval for the true proportion of viewers regularly watching the show. b.) The network will consider canceling the show if less than one-third of the population regularly watches it. Based on the 95% confidence interval, will the network cancel the show? c.) If the network will be conducting a survey for the show “Boy Band”, how large a sample is needed if they wish to be 99% confident that the proportion estimate will be within 0.02 of the true/population proportion of viewers?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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In a survey 100 viewers were asked the question, “Do you regularly watch “The Voice?” Of the 100, 35 answered yes. a.) Construct the 95% confidence interval for the true proportion of viewers regularly watching the show. b.) The network will consider canceling the show if less than one-third of the population regularly watches it. Based on the 95% confidence interval, will the network cancel the show? c.) If the network will be conducting a survey for the show “Boy Band”, how large a sample is needed if they wish to be 99% confident that the proportion estimate will be within 0.02 of the true/population proportion of viewers?
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