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1. Suppose that 20% of the subscribers of a cable TV company watch the shopping channel at least once a week. The cable company is trying to decide whether to replace this channel with a new local channel. A random survey of 100 subscribers will be undertaken. The cable company has decided to keep the shopping channel if more than 25% of the sample watches the shopping channel. What is the probability that the cable company will keep the shopping channel?

1. Suppose that 20% of the subscribers of a cable TV company watch the shopping channel at least once a week. The cable company is trying to decide whether to replace this channel with a new local channel. A random survey of 100 subscribers will be undertaken. The cable company has decided to keep the shopping channel if more than 25% of the sample watches the shopping channel. What is the probability that the cable company will keep the shopping channel?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Please answer the following and explain why you use the formulas you do. Also please include the conditions for using Central Limit Theorem and whether this problem qualifies under those conditions. Thank you.     

1. Suppose that 20% of the subscribers of a cable TV company watch the shopping channel at least once a week. The cable company is trying to decide whether to replace this channel with a new local channel. A random survey of 100 subscribers will be undertaken. The cable company has decided to keep the shopping channel if more than 25% of the sample watches the shopping channel. What is the probability that the cable company will keep the shopping channel?
Transcribed Image Text:1. Suppose that 20% of the subscribers of a cable TV company watch the shopping channel at least once a week. The cable company is trying to decide whether to replace this channel with a new local channel. A random survey of 100 subscribers will be undertaken. The cable company has decided to keep the shopping channel if more than 25% of the sample watches the shopping channel. What is the probability that the cable company will keep the shopping channel?
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Why do you use the sample standard deviation formula to get .04, rather than using the normal standard deviation formula of sqaure root of n.p.q, which would give you 4 instead of .04. How do you know to use the sample formula? Thanks.  

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