Assignment 5 R studio

The UN conducted extensive research into the prevalence of the use of modern contraception methods across 184 countries (data provided: 2d_health_contraception.txt).

#The Bill & Melinda Gates Foundation, however, conducted their own research across the world and claim that the UN data overestimates the prevalence of modern contraception by 5 percentage points.

###QUESTIONS###

#(1) What is the sample size, sample mean, and sample standard deviation of this data (for modern contraception)?
#(2) Is the mean estimate from the UN sample significantly different (alpha=0.05) from the proposed correct value from the Gates Foundation? … NOTE: mean_alternative<-mean(data$Modern)-5
#(3) What is the Type I error for this test?
#(4) How many std err away from the mean?
#(5) What is the P value for this test (what is the cumulative probability of this in the t distribution)?
#(6) What is the Type II error for this test?
#(7) What is the power of this test?

Continent Country Any Modern
Eurasia Afghanistan 22.8 15.2
Eurasia Albania 69.3 10.2
Africa Algeria 61.4 52
Africa Angola 6.2 4.5
Americas Anguilla 43 40.8
Americas Argentina 65.3 63.8
Eurasia Armenia 53.1 19.1
SEAsia Australia 70.8 70.8
Eurasia Austria 50.9 46.8
Eurasia Azerbaijan 51.1 13.2
Americas Bahamas 61.7 60.1
Eurasia Bahrain 61.8 30.6
Eurasia Bangladesh 55.8 47.5
Americas Barbados 55 53.3
Eurasia Belarus 72.6 56
Eurasia Belgium 74.6 72.9
Americas Belize 34.3 31.2
Africa Benin 17 5.9
Eurasia Bhutan 35.4
Americas Bolivia 60.5 33.8
Eurasia Bosnia_and_Herzegovina 35.7 11.2
Africa Botswana 44.4 42.1
Americas Brazil 80.3 77.1
Eurasia Bulgaria 63.4 39.6
Africa Burkina_Faso 17.4 13.3
Africa Burundi 9.1 7.5
Americas Cambodia 40 27.1
Africa Cameroon 29.2 12
Americas Canada 74 72
Africa Cape_Verde 61.3 57.1
Africa Central_African_Republic 19 8.6
Africa Chad 2.8 1.7
Americas Chile 64.2
Eurasia China 84.6 84
Eurasia Hong_Kong 79.5 75.4
Americas Colombia 78.2 67.6
Africa Comoros 25.7 19.3
Africa Congo 44.3 12.7
SEAsia Cook_Islands 43.2 38.2
Americas Costa_Rica 80 71.5
Africa Ivory_Coast 12.9 8
Eurasia Croatia 58 7
Americas Cuba 72.6 71.6
Eurasia Czech_Republic 72 62.6
Eurasia Korea 68.6 58.2
Africa Congo 20.6 5.8
Eurasia Denmark 78 72
Africa Djibouti 17.8 17.1
Americas Dominica 49.8 47.9
Americas Dominican_Republic 72.9 69.5
Americas Ecuador 72.7 58.7
Africa Egypt 60.3 57.6
Americas El_Salvador 72.5 65.9
Africa Equatorial_Guinea 10.1 6.1
Africa Eritrea 8 5.1
Eurasia Estonia 70.3 56.4
Africa Ethiopia 14.7 13.7
SEAsia Fiji 40.9 35.1
Eurasia Finland 77.4 75.4
Eurasia France 76.6 74.8
Africa Gabon 32.7 11.8
Africa Gambia 17.5 12.7
Eurasia Georgia 47.3 26.6
Eurasia Germany 70.1 65.6
Africa Ghana 23.5 16.6
Eurasia Greece 76.2 45.9
Eurasia Greenland 54.3 52.1
Americas Guadeloupe 29.4 21.1
Americas Guam 66.6 58.3
Americas Guatemala 43.3 34.4
Africa Guinea 9.1 4
Africa Guinea_Bissau 10.3 6.1
Africa Guyana 42.5 39.8
Americas Haiti 32 23.6
Americas Honduras 65.2 56.1
Eurasia Hungary 80.6 71.3
Eurasia India 56.3 48.5
Eurasia Indonesia 61.4 57.4
Eurasia Iran 73.3 58.9
Eurasia Iraq 49.8 32.9
Eurasia Ireland 64.8 61.4
Eurasia Israel 68 51.9
Eurasia Italy 62.7 40.6
Americas Jamaica 69 66.2
Eurasia Japan 54.3 44.4
Eurasia Jordan 59.3 40.5
Eurasia Kazakhstan 50.7 48.7
Africa Kenya 45.5 38.9
Eurasia Kuwait 52 39.3
Eurasia Kyrgyzstan 47.8 45.5
Eurasia Lao 38
Eurasia Latvia 67.8 55.5
Eurasia Lebanon 58 34
Africa Lesotho 47 45.6
Africa Liberia 11.4 10.3
Africa Libya 45.2 25.7
Eurasia Lithuania 50.7 33.2
Africa Madagascar 39.9 28.2
Africa Malawi 41 38.4
Eurasia Malaysia 54.5 29.8
SEAsia Maldives 34.7 27
Africa Mali 8.2 6.3
Eurasia Malta 85.8 46
SEAsia Marshall_Islands 44.6 42.4
Americas Martinique 35.5 27.3
Africa Mauritania 9.3 8
Africa Mauritius 75.8 39.3
Americas Mexico 70.9 66.5
Eurasia Mongolia 66 60.6
Eurasia Montenegro 39.4 17.2
Africa Morocco 63 52
Africa Mozambique 16.5 11.8
Eurasia Myanmar 41 38.4
Africa Namibia 55.1 53.5
SEAsia Nauru 35.6 23
Eurasia Nepal 48 44.2
Eurasia Netherlands 69 67
Americas Netherlands_Antilles 75 72.3
Americas Nicaragua 72.4 68.8
Africa Niger 11.2 5
Africa Nigeria 14.6 8.1
SEAsia Northern_Mariana_Islands 20.5 16
Eurasia Norway 88.4 82.2
Eurasia Occupied_Palestinian_Territory 50.2 38.9
Africa Oman 31.7 24.6
Eurasia Pakistan 27 19.3
Americas Palau 32.8 29.7
Americas Panama 58.2 54.2
SEAsia Papua_New_Guinea 35.7
Americas Paraguay 79.4 70.1
Americas Peru 73.2 49.9
Eurasia Philippines 50.7 33.6
Eurasia Poland 72.7 28
Eurasia Portugal 86.8 82.5
Americas Puerto_Rico 84.1 72.2
Eurasia Qatar 43.2 32.3
Eurasia Republic_of_Korea 80 70.1
Eurasia Republic_of_Moldova 67.8 42.6
Africa Réunion 66.6 63.5
Eurasia Romania 70.3 38.2
Eurasia Russian_Federation 79.5 65
Africa Rwanda 36.4 26.1
Americas Saint_Lucia 47.3 45.9
Americas Saint_Vincent_and_the_Grenadines 58.3 55.9
SEAsia Samoa 28.7 26.6
Americas Sao_Tome_and_Principe 38.4 33.1
Eurasia Saudi_Arabia 23.8
Africa Senegal 11.8 10
Eurasia Serbia 41.2 18.6
Africa Sierra_Leone 8.2 6
Eurasia Singapore 62 55
Eurasia Slovakia 79.8 65.6
Eurasia Slovenia 78.9 63.2
SEAsia Solomon_Islands 34.6 27.3
Africa Somalia 14.6 1.2
Africa South_Africa 59.9 59.8
Eurasia Spain 65.7 62.3
Africa Sri_Lanka 68 52.7
Africa Sudan 7.6 5.7
Americas Suriname 45.6 45
Africa Swaziland 50.6 46.8
Eurasia Sweden 75.2 64.8
Eurasia Switzerland 82 77.5
Eurasia Syrian_Arab_Republic 58.3 42.6
Eurasia Tajikistan 37.1 31.7
Eurasia Thailand 81.1 79.8
Eurasia TFYR_Macedonia 13.5 9.8
Eurasia Timor-Leste 22.3 20.8
Africa Togo 16.8 11.1
Americas Trinidad_and_Tobago 42.5 37.7
Africa Tunisia 60.2 51.5
Eurasia Turkey 73 46
Eurasia Turkmenistan 61.8 45.2
SEAsia Tuvalu 30.5 22.4
Africa Uganda 23.7 17.9
Eurasia Ukraine 66.7 47.5
Eurasia United_Arab_Emirates 27.5 23.6
Eurasia United_Kingdom 84 84
Africa United_Republic_of_Tanzania 34.4 26.1
Eurasia United_States_of_America 78.6 73
Americas United_States_Virgin_Islands 78.4 72.6
Americas Uruguay 77 74.8
Eurasia Uzbekistan 64.9 59.3
SEAsia Vanuatu 38.4 36.8
Americas Venezuela 70.3 61.7
Eurasia Vietnam 79.5 68.8
Africa Yemen 27.7 19.2
Africa Zambia 40.8 26.5
Africa Zimbabwe 60.2 57.9

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