10 2 Mary is a student midwife doing a project comparing births in different countries. She obtains the total fertility rates in 2000–2005 and 2010–2015 for a random sample of 11 countries. The total fertility rate is the average number of children a woman in that country will have. This data and the paired differences are shown in Figure 4. Total fertility rate Country 2000–2005 2010–2015 Differences Austria 1.38 1.45 −0.07 Indonesia 2.53 2.45 0.08 Panama 2.68 2.60 0.08 Cuba 1.59 1.71 −0.12 Israel 2.91 3.04 −0.13 Costa Rica 2.15 1.85 0.30 United Arab Emirates 2.40 1.70 0.70 Côte d’Ivoire 5.68 4.95 0.73 Guinea 5.91 5.14 0.77 Guatemala 4.33 3.19 1.14 Afghanistan 7.18 5.45 1.73 Figure 4 (Data source: http://www.data.un.org) (a) Making any necessary assumptions, perform a Wilcoxon signed-rank test to investigate whether total fertility rates by country changed on average between 2000–2005 and 2010–2015. You may use the spare columns in Figure 4 for your working if desired. (6) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________