Question 17 (1 point) 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 the countries where this information is available for the year 2011 are in following table: Data of Health Expenditure versus Prenatal Care Health Expenditure (% of GDP) Prenatal Ca re {%) 3.7 54.6 5.2 5.2 10.0 4.7 4.8 \fTest at the 5% level for a correlation between percentage spent on health expenditure and the percentage of women receiving prenatal care. Then 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. (i) Which of the following statements correctly define both the null hypothesis Ho and the alternate hypothesis HA ? A. Ho: P=0 HA: P 0 HA : P= 0 C. Ho: p=0 HA : P> 0 D. none of these answers are correct(ii) Enter the level of significance crused for this test, and the degrees of freedom cit": 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: 001,4 002,11 005,13 010,46 -* (iii) Use technology to determine correlation coefficient rbetween 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: -00001 +00020 -00500 +03000 +07115 Recommended online calculator: Correlation and Linear Regression Calculator Applet 6/ (iv) Calculate and enter test statistic Enter value in decimal form rounded to nearest hundredth, with appropriate sign (no spaces). Examples of correctly entered answers: 2.10 0.07 +0.60 +1.09 Recommended online calculator: Correlation Coefficient Testing Significance -'v LA I I..2....._ J...I...I.... .._.I4...I_.J...... ..... -_..........J..L.....I.- h;1......._..h..... 'u'l ._L*_. u. ....I..;. (v) Using tables, calculator, or spreadsheet: Determine and enter p-value corresponding to test statistic. Enter value in decimal form rounded to nearest thousandth. Examples of correctly entered answers: 0.000 0.001 0.030 0.600 0.814 1.000 Recommended online calculator: Correlation Coefficient - Testing Significance -'v {vi} Comparing p-value and value, which is the correct decision to make for this hypothesis test? A. Reject Ho B. Fail to reject Ho C. Accept Ho D. Accept HA Enter letter corresponding to correct answer. {vii} Select the statement that most correctly interprets the result of this test: A. The result is statistically significant at .05 level of significance. Evidence supports the claim that there is a correlation between percent GDP spent on healthcare and percentage of women receiving prenatal care. B. The result is statistically significant at .05 level of significance. There is not enough evidence to show that there is a correlation between percent GDP spent on healthcare and percentage of women receiving prenatal care. C. The result is not statistically significant at .05 level of significance. Evidence supports the claim that there is a correlation between percent GDP spent on healthcare and percentage of women receiving prenatal care. D. The result is not statistically significant at .05 level of significance. There is not enough evidence to show that there is a correlation between percent GDP spent on healthcare and percentage of women receiving prenatal care. Enter letter corresponding to most correct answer CW (viii) Determine standard error of the estimate Se : Enter answer to nearest hundredth Recommended online calculator: http://vassarstats.net/index.html (select "Correlation and Regression" from menu at left of page, and either your choice of "Data Entry" or "Data Import")(ix) 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. Do this by: . finding to (two-tailed t-score using level of significance and dfvalue found in part (ii)) https://www.danielsoper.com/statcalc/calculator.aspx?id=10 . find "y^" output value corresponding to x. = 5.0 using line-of-best-fit regression equation y^ =mx, + b . determining bound E using the following formula: (Se , n, sample mean for x , and sample variance for x all can be found using http://vassarstats.net/index.html ) E = (tc) (se) To - ( 2 (Sz2) (n-1) . subtract, then add bound E to y^ value to create prediction interval. Determine which of the following 95% prediction intervals is most correct:Determine which of the following 95% prediction intervals is most correct: A. 39.42%
