A scientist is interested in the percentage of volcanoes tha

A scientist is interested in the percentage of volcanoes (that have erupted at least once in recorded history) that have erupted at least 15 times . The scientist was only able to obtain data on a random sample of 179 volcanoes and, thus, will make an estimate based on this sample data. To help the scientist, create and interpret 90% and 98% confidence intervals to estimate the desired quantity. Include sample mean, sample standard deviation, and margin of error/upper limit/lower limit for each.

Volcano Name Sample Data
Abu 1
Adams Seamount 4
Aguilera 2
Akan 35
Akita-Komagatake 18
Akita-Yakeyama 16
Alamagan 2
Alcedo 2
Alney-Chashakondzha 3
Alu-Dalafilla 1
Arshan 1
Asuncion 1
Atitlan 13
Atka 1
Azufral 4
Bagana 25
Bakening 5
Bamus 4
Bandaisan 11
Barcena 1
Baru 8
Berlin 1
Biliran 1
Billy Mitchell 2
Black Rock Desert 1
Blue Lake Crater 1
Boomerang Seamount 1
Bulusan 20
Carrán-Los Venados 3
Ceboruco 4
Chaine des Puys 8
Chiles-Cerro Negro 1
Chyulu Hills 2
Dabbahu 4
Dawson Strait Group 1
Deception Island 24
Dhamar, Harras of 1
Dieng Volcanic Complex 26
Eastern Gemini Seamount 1
Egon 4
Erciyes Dagi 1
Eyjafjallajokull 5
Fentale 2
Fukue 1
Galapagos Rift 2
Gamkonora 13
Gareloi 12
Gede-Pangrango 22
Glacier Peak 6
Gorely 50
Graciosa 1
Great Sitkin 6
Grimsvotn 79
Guntur 24
Hakkodasan 7
Hell\'s Half Acre 1
Hualalai 22
Huaynaputina 2
Iliamna 7
Iliinsky 6
Iliwerung 13
Ilopango 2
Indian Heaven 1
Irazu 25
Isarog 1
Iya 8
Izu-Oshima 99
Izu-Torishima 6
Jan Mayen 7
Jefferson 2
Kaikohe-Bay of Islands 1
Kambalny 1
Kanaga 17
Karpinsky Group 1
Kazbek 2
Kerinci 30
Kilauea 95
Kita-Fukutokutai 1
Klyuchevskoy 106
Krafla 30
Krakatau 53
Ksudach 15
Kuchinoshima 4
Kujusan 13
Kunlun Volcanic Group 1
Kuwae 12
Kyejo 1
La Palma 13
Lamington 3
Langila 25
Lengai, Ol Doinyo 23
Lewotolo 9
Llaima 56
Lolobau 3
Loloru 6
Longgang Group 1
Marchena 1
Marra, Jebel 1
Maruyama 2
Mayon 61
Medicine Lake 9
Melbourne 1
Melimoyu 2
Michoacan-Guanajuato 10
Milna 5
Minami Hiyoshi 1
Misti, El 15
Mocho-Choshuenco 2
Moekeshiwan [Lvinaya Past] 1
Momotombo 18
Mono Craters 10
Mono Lake Volcanic Field 4
Muria 1
Myokosan 10
Nabro 1
Nabukelevu 3
Naolinco Volcanic Field 1
Naruko 5
Nasudake 20
Negra, Sierra 17
Nightingale Island 1
Nisyros 4
North Norfolk Plateau 1
Nyiragongo 19
Olkaria 3
Oshima-Oshima 5
Osorezan 1
Ostry 1
Paka 1
Pali-Aike Volcanic Field 1
Palinuro 1
Pavlof 43
Payun Matru 1
Pinta 1
Quetrupillan 1
Raung 64
Raususan [Mendeleev] 2
Rinjani 17
Ritter Island 8
Ruang 12
Ruiz, Nevado del 21
Salak 5
San Francisco Volcanic Field 1
San Pablo Volcanic Field 1
San Salvador 5
Sangay 3
Santiago 3
Savai\'i 12
Semeru 58
Severny 1
Shishaldin 38
Silali 3
Sumbing 3
Suoh 1
Tacana 10
Taisetsuzan 5
Tecuamburro 1
Tenerife 42
Three Sisters 6
Tinguiririca 1
Tjornes Fracture Zone 1
Toya 13
Tristan da Cunha 2
Tutupaca 2
Uinkaret Field 1
Ulawun 37
Unnamed 35
Ushkovsky 3
Uwayrid, Harrat 1
Vilyuchik 1
Visoke 2
Vulsini 1
West Mata 1
Westdahl 7
Wrangell 8
Wudalianchi 2
Wurlali 1
Yate 1
Zaozan 43

Solution

A scientist is interested in the percentage of volcanoes (that have erupted at least once in recorded history) that have erupted at least 15 times . The scienti
A scientist is interested in the percentage of volcanoes (that have erupted at least once in recorded history) that have erupted at least 15 times . The scienti
A scientist is interested in the percentage of volcanoes (that have erupted at least once in recorded history) that have erupted at least 15 times . The scienti
A scientist is interested in the percentage of volcanoes (that have erupted at least once in recorded history) that have erupted at least 15 times . The scienti
A scientist is interested in the percentage of volcanoes (that have erupted at least once in recorded history) that have erupted at least 15 times . The scienti

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