Suppose that 20% of the subscribers of a cable television company \Vatch the shopping channel at least once a\veek. The cable company is trying to decide whether to replace this channel with a new local station. A survey of 100 subscribers will be undertaken. The cable company has decided to keep the shopping channel if the sample proportion is greater than 0.25. What is the approximate probability that the  cable company will keep the shopping channel, even though the proportion of all subscribers who watch it is only 0.20?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 5SE: The union of two sets is defined as a set of elements that are present in at least one of the sets....
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Suppose that 20% of the subscribers of a cable television company \Vatch the shopping channel at least once a\veek. The cable company is trying to decide whether to replace this channel with a new local station. A survey of 100 subscribers will be undertaken. The cable company has decided to keep the shopping channel if the sample proportion is greater than 0.25.

What is the approximate probability that the  cable company will keep the shopping channel, even though the proportion of all subscribers who watch it is only 0.20?

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