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?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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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