Q6.1 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 women receiving prenatal care ("Pregnant woman receiving," 2013). The data for 14 countries where this information is available for the year 2011 are in following table (note: outlier data has been removed): Data of Health Expenditure versus Prenatal Care Health Expenditure (% of GDP) Prenatal Care (%) 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 Test at the 5% level for a correlation between percentage spent on health expenditure and the percentage of women receiving prenatal care. (i) Which of the following statements correctly define both the null hypothesis HO and the alternative hypothesis HA ? A. HO : ρ = 0 HA : ρ < 0 B. HO : ρ > 0 HA : ρ = 0 C. HO : ρ = 0 HA : ρ ≠ 0 D. none of these answers are correct (ii) Enter the level of significance α used for this test, and the degrees of freedom df: Enter level of significance in decimal form to nearest hundredth, followed by comma, followed by degrees of freedom value to nearest integer. Do not enter spaces. Examples of correctly entered answers: 0.01,4 0.02,11 0.05,13 0.10,46 (iii) Use technology to determine correlation coefficient r between independent variable (percent GDP spent on healthcare) and dependent variable (percent women receiving prenatal care) Enter in decimal form to nearest ten-thousandth with sign. Examples of correctly entered answers: -0.0001 +0.0020 -0.0500 +0.3000 +0.7115 Recommended online calculator: Correlation and Linear Regression Calculator Applet
Q6.1
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 women receiving prenatal care ("Pregnant woman receiving," 2013). The data for 14 countries where this information is available for the year 2011 are in following table (note: outlier data has been removed):
Data of Health Expenditure versus Prenatal Care
|
Health Expenditure (% of GDP) |
Prenatal Care (%) |
|
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 |
Test at the 5% level for a
(i) Which of the following statements correctly define both the null hypothesis HO and the alternative hypothesis HA ?
A. HO : ρ = 0 HA : ρ < 0
B. HO : ρ > 0 HA : ρ = 0
C. HO : ρ = 0 HA : ρ ≠ 0
D. none of these answers are correct
(ii) Enter the level of significance α used for this test, and the degrees of freedom df:
Enter level of significance in decimal form to nearest hundredth, followed by comma, followed by degrees of freedom value to nearest integer. Do not enter spaces.
Examples of correctly entered answers: 0.01,4 0.02,11 0.05,13 0.10,46
(iii) Use technology to determine
Enter in decimal form to nearest ten-thousandth with sign. Examples of correctly entered answers:
-0.0001 +0.0020 -0.0500 +0.3000 +0.7115
Recommended online calculator:
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