Exam 3: Part B- SOCI 3443 Social Statistics CH10 to CH13 Please well prepared this exam using class material to answer these questions and you also have to take Part A: 30 multiple choice questions in Blackboard. Please type in your name below to prove that you answer this exam by yourself and understand the SHSU school policies in the syllabus. You HAVE TO \"TYPE IN\" and \"SUBMIT\" this Exam 3: Part B through Blackboard. If you turn in your assignment in any other format (except .doc, .docx, or .pdf format), you will automatically receive a ZERO for not following instructions. Please be attentive of what you submit. We DON'T accept any late work or wrong submission. Please double check your file before submission. You can submit this Part B several times before the deadline, and this means that you are taking responsibilities of your own submission. This exam will be due by 11:59 CST Sunday, May 1st. Name _______________________________________________ 1 Problem set 1: use the following information to answer questions 1-3 (5 points total): The following data were obtained from the General Social Survey. Position on Abortion Support Oppose Religious Affiliation Protestant Catholic 182 97 252 113 1. Identify the independent variable. Why (1 pts)? Religious Affiliation 2. Calculate the marginal for the table below (2 pts)? Position on Abortion Support Oppose Column Total Religious Affiliation Protestant Catholic 182 97 252 113 434 210 Row Total 279 365 644 3. Calculate the appropriate percentages for each cell using the conventions introduced in Chapter 10 (2 pts). Position on Abortion Support Oppose Column Total Religious Affiliation Protestant Catholic 42% 46% 58% 54% 100% 100% 2 Row Total 43% 57% 100% Problem set 2: use the following information to answer questions 4-7 (5 points total): We continue our analysis from previous problem set, this time examining the relationship between social class (CLASS) and spending on welfare (NATFARE). Spending on Welfare Too little About right Too much Total Lower Class 22 14 11 47 Working Class 95 111 126 332 Social Class Middle Class 80 131 97 308 Upper Class 9 9 12 30 Total 206 265 246 717 4. What is the number of degrees of freedom for this table (1 pts)? n-1=716 5. Calculate the chi-square (2 pts). Social Class/Welfare Spending fo fe fo fe ( fo fe )2 ( fo fe )2 fe Lower/Too little Lower/About right Lower/Too much Working/Too little Working/About right Working/Too much Middle/Too little Middle/About right Middle/Too much Upper/Too little Upper/About right Upper/Too much 22 14 11 95 111 126 80 131 97 9 9 12 2 6. Based on an alpha of .05, do you reject the null hypothesis (1 pts)? 7. Explain the reason for your answer (1 pts). 3 / Problem set 3: use the following information to answer questions 8-10 (10 points total): We take another look at health based on the practice question on Page 408, this time examining the relationship between educational attainment and perceived quality of health care. Data for three groups are presented based on the HINTS2012 data set. Present the five-step model for these data, using alpha = .01. QUALITYCARE is measured on a five-point scale: 1excellenet, 2very good, 3good, 4fair, and 5poor. Note how a lower score indicates a higher quality of care. Less Than High School Some College College Graduate 2 3 1 1 1 4 2 1 2 1 2 1 3 2 4 2 2 2 8. Find the answers for the worksheet (4 pts). Less Than High School Some College College Graduate 2 2 1 3 3 1 1 2 1 1 2 2 1 4 1 4 2 2 Sum Y1= 12 Sum Y2= 15 Sum Y3= 8 Mean Y1= Mean Y2= 2.5 Mean Y3= 1.33 Sum up square of Y1= Sum up square of Y2= 41 Sum up square of Y3= 12 K1= 6 K2= 6 K3= 6 Total mean = N = 18 9. Calculate Mean Square within and Mean Square between (2 pts). 10. What's the F statistic in this data (2 pts)? Make decision if alpha was set up at .05, and please use Appendix E (Page 487) to discuss your decision making (2 pts). 4 Problem set 4: use the following information to answer questions 11-15 (15 points total): Let's examine the relationship between GNP per capita and the percentage of respondents willing to pay more in taxes. 11. In this chapter, we used Table 13.4 to illustrate how to calculate the slope and intercept in the regression table. Using table 13.4 as a model, create a similar table using the data below for GNP per capita and the percentage willing to pay higher taxes (6 pts). GNP per Capita (X) % Willing to Pay Higher Taxes (Y) Mean X = X Mean Y = Y X N Y N Variance (Y) = 2 SY (X - ) X (X - )2 X (Y - ) Y (Y - )2 Y (X - ) (Y - X ) Y ; Please make sure you get the correct N 281.41 N 417.64 N (Y Y ) N1 2 Standard deviation (Y) = S Y ______ 5 Variance (X) = S 2 X (X X )2 N1 Standard deviation (X) = S Y ______ Covariance (X,Y) = S YX (X X )(Y Y ) N1 *Answers may differ due to rounding (2 decimal points); however the exact value of these column totals, properly calculated will always be equal to zero. Sources: The World Bank Group, Development Education Program Learning Model: Economics, GNP per Capita, 2004. International Social Survey Programme, 2000. 12. From the table that you created in #11, calculate a, b, and write out the regression equation (i.e., prediction equation) (3 pts). 13. Calculate and interpret error type, E2 (3 pts). % Willing to Pay Higher Taxes (Y) Predicted % Willing to Pay Higher Taxes () (Y- )2 (Y- ) = 6 14. Using your answer from #13, calculate the PRE measure, r2. Interpret (2 pts). 15. About what percentage of citizens are willing to pay higher taxes for a country with a GNP per capita of 3.0 (i.e., $3,000)? For a GNP per capita of 30.0 (i.e., $30,000) (1 pt)? Problem set 5: use the following information to answer questions 17-20 (5 points total): 16. Calculate the Y-intercept, a, of the regression equation using the following information: (1 pt) Mean number of years of schooling: 15 Mean monthly income: $3,360 Slope, b, of the regression equation: $970 Y = b0 + b*X Where b0 is the y-intercept of the given regression line Now, plug all values in the above regression line given as below: 3360= b0 + 970*15 3360= b0 + 14550 b0= 3360-14550=-11190 Y-intercept = -11190 17. Consider the following linear regression prediction equation: Y = 12 + -1x. If x = 5, what is the predicted value of, Y, for this observation (1 pt)? Y = 12 + -1x Y = 12 + -1*5 Y = 12 - 5 Y=7 Predicted value = 7 18. Consider the following linear regression prediction equation: Y = 12 + -1x. If the predicted value of, Y, for an observation is 3, calculate the residual for an observation where the observed value, Y, is equal to 8 (1 pt)? Residual = observed value - predicted value 7 Residual = 8 - 3 = 5 Residual = 5 19. What are the four assumptions of ANOVA (2 pts)? Independent random samples are used The dependent variable is an interval-ratio level The population is normally distributed The population variances are equal 20. What is the five steps in hypothesis testing using ANOVA (extra 5 pts)? Making Assumptions Independent random samples are used The dependent variable is an interval-ratio level The population is normally distributed The population variances are equal Stating the Research and Null Hypothesis and Selecting Alpha H1: At least one mean is different from the others H0: 1 = 2 = 3 = 4 alpha = .05 Selecting the Sampling Distribution and Specifying the Test Statistic - The F distribution and F statistic are used to test the significance of the difference between the four sample means Computing the Test Statistic - We need to calculate the between-group and within-group variation - We estimate SSB = 10.61 (dfb = 3) and SSW = 2.67 (dfw = 17) Making a Decision and Interpreting the Results - We reject the null hypothesis and conclude that the groups are different in their educational attainment - Our F obtained of 3.97 is greater than the F critical of 3.20. The probability of 3.97 is <.05 8