Here is a list of 27 industrialized nations are their ranks, first in infant mortality and second in life expectancy. Being ranked 1st is best and 27th is worst in both situations. Use your calculator to see if the rank correlation for these two rankings has a high enough correlation coefficient for us to be 95% confident of correlation or even 99% confident. Either positive correlation or negative correlation can be used.
countries infant mortality life expectancy
Australia_____ 18 4
Austria_______ 15 16
Belgium_______ 16 19
Canada________ 22 5
Denmark_______ 14 23
Finland_______ 7 21
France________ 6 6
Germany_______ 9 18
Greece________ 24 15
Hong Kong_____ 4 3
Iceland_______ 5 10
Ireland_______ 23 24
Israel________ 12 9
Italy_________ 26 12
Japan_________ 3 1
Netherlands___ 17 17
New Zealand___ 21 11
Norway________ 8 14
Portugal______ 19 25
Singapore_____ 1 2
South Korea___ 13 22
Spain_________ 11 13
Sweden________ 2 7
Switzerland___ 10 8
Taiwan________ 25 27
United Kingdom 20 20
United States_ 27 26
Answers in the comments.
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2 comments:
r_s = .5537, which rounds to .554. Since n = 27, we can see this correlation is above the level needed for 99% confidence, .491. We can state either with 95% confidence or 99% confidence that a good rank in infant mortality statistics correlates to a good rank in life expectancy among these industrialized nations.
I agree that a good rank in infant mortality statistics correlates to a good rank in life expectancy with both 95% and 99% confidence, but the # for 99% confidence for 27 is .505, not .491.
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