e) based on this survey, can the intern make the claim that the music improves peoples mood

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A company produces mood music, and wants to study the music and whther it substantially helps peoples mood. 

the first intern decides to survey adults, asking them if they are feeling cheerful at the moment. 280 adults who do not listen to the mood music are asked if they are feeling cheerful at the moment. 112 say they are. the intern then asks 172 adults who listen to mood music regurlarly of they are feeling cheerful: 87 say they are. The intern will only claim that the music enhances peoples mood if he can state with 95% certainty that the % of adult mood music listeners who feel cherful beats thes rest of the adult population more than 4%

 

e) based on this survey, can the intern make the claim that  the music improves peoples mood

 

f) generate a 95% confidence interval regarding the differnce between the % of adults who listen to mood music who feel cheerful and the % of adults who dont listen to mood music who feel cheerful round to the nearest 1%

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