For each problem, state the random variables. 10.3.4 The World Bank collected data on the percentage of GDP that a country spends on health expenditures ("Health expenditure," 2013) and also the percentage of woman receiving prenatal care ("Pregnant woman receiving," 2013). The data for the countries where this information is available for the year 2011 are in table #1018. a.) Test at the 5% level for a correlation between percentage spent on health expenditure and the percentage of woman receiving prenatal care. b.) Find the standard error of the estimate. c.) Compute a 95% prediction interval for the percentage of woman receiving prenatal care for a country that spends 5.0 % of GDP on health expenditure. Table #10.1.8: Data of Heath Expenditure versus Prenatal Care Health Prenatal Expenditure Care (%) (% of G DP) 9.6 47.9 3.7 54.6 5.2 93.7 5.2 84.7 10.0 100.0 4.7 42.5 4.8 96.4 6.0 77.1 5.4 58.3 4.8 95.4 4.1 78.0 6.0 93.3 9.5 93.3 6.8 93.7 6.1 89.8