help with 2a-f Part 2: A company produces mood music, and wants to study the music and whether it“substantially" helps people's 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 themoment. 112 say they are. The intern then asks 172 adults who listen to mood music regularlyif they are feeling cheerful; 87 say they are. The intern will only claim that the music enhancespeople's mood if he can state with 95% certainty that the % of adult mood-music listeners whofeel cheerful beats the rest of the adult population more than 4%.a)Write Ho, HA, and a. b) ] Write and values of pno music and PmusicWhat is the Standard Deviation of the Sample Mean Difference? Round to the nearestc)0.00001.d) Run a Z-test. What is the p-value? Round to the nearest 0.0001.Based on this survey, can the intern make the claim that the music improves people'se)mood? For credit, your answer must be both correct and consistent with your answer in part d.f).% of adults who listen to mood music who feel cheerful, and the % of adults who don't listen tomood music who feel cheerful. Round appropriately to the 1%.Generate a 95% confidence interval regarding the regarding the difference between the

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help with 2a-f Part 2: A company produces mood music, and wants to study the music and whether it“substantially&#34; helps people's 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 themoment. 112 say they are. The intern then asks 172 adults who listen to mood music regularlyif they are feeling cheerful; 87 say they are. The intern will only claim that the music enhancespeople's mood if he can state with 95% certainty that the % of adult mood-music listeners whofeel cheerful beats the rest of the adult population more than 4%.a)Write Ho, HA, and a. b) ] Write and values of pno music and PmusicWhat is the Standard Deviation of the Sample Mean Difference? Round to the nearestc)0.00001.d) Run a Z-test. What is the p-value? Round to the nearest 0.0001.Based on this survey, can the intern make the claim that the music improves people'se)mood? For credit, your answer must be both correct and consistent with your answer in part d.f).% of adults who listen to mood music who feel cheerful, and the % of adults who don't listen tomood music who feel cheerful. Round appropriately to the 1%.Generate a 95% confidence interval regarding the regarding the difference between the

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