Homework Assignment #6 (due by 11:59pm CST on Sunday, April 10 th ) Please study Ch10 & Ch11 to finish this homework assignment. You can find out the answers in textbook practice and weekly materials on BlackBoard. Also, please familiar with how to make a decision and interpret the results (P. 359) using Appendix D (P.486). Problem set 1: Use the following data to answer questions 1-2 (10 points): Consider the following hypothetical data on each respondent’s region of U.S. residence and whether or not they have health insurance of some kind. Person Region Health Insurance 1 South Yes 2 South Yes 3 North No 4 North No 5 North Yes 6 North Yes 7 North Yes 8 South No 9 South No 10 South No 11 North Yes 12 North Yes 13 North No 14 North No 15 South No Use these data to construct a bivariate table, with cells containing the appropriate frequencies (5 pts)? Region Health Insurance? South North Row Marginal Yes No Column Marginal Construct a bivariate table containing the appropriate percentages for each cell in the table (5 pts)? Region Health Insurance? South North Yes No 100% 100% Problem set 2: use the following information to answer questions 3-5 (25 points total): The following data were obtained from the General Social Survey. Religious Affiliation Position on Abortion Protestant Catholic Support 156 86 Oppose 296 139 Identify the independent variable (5 pts). Calculate the marginal for the table below (10 pts)? Religious Affiliation Row Marginal Position on Abortion Protestant Catholic Support 156 86 Oppose 296 139 Column Marginal Calculate the appropriate percentages for each cell using the conventions introduced in Chapter 10 (10 pts). Religious Affiliation Position on Abortion Protestant Catholic Row Marginal Support Oppose Column Marginal Problem set 3: use the following information to answer questions 6-8 (25 points total): Hypothetical data are provided below on relationship between sex and marital satisfaction. Sex Marital Satisfaction Male Female Row Marginal Satisfied 309 255 564 Unsatisfied 107 278 385 Column Marginal 416 533 949 Calculate the expected frequencies – that is, the frequencies were would expect to observe if there were no relationship between sex and marital satisfaction (8 pts). Sex Marital Satisfaction Male Female Row Marginal Satisfied 564 Unsatisfied 385 Column Marginal 416 533 949 Calculate the number of degrees of freedom associated with the chi-square test for these data (2 pts). Calculate the chi-square values (10 pts) Cell (X,Y) Fo Fe (Fo-Fe) (Fo-Fe) 2 [(Fo-Fe) 2 / Fe] Male/Satisfied 309 Male/unsatisfied 107 Female/satisfied 255 Female/unsatisfieed 278 Suppose you obtain a chi-square statistic of 67.81. Are your results statistically significant if the critical value obtained from the distribution of chi-square is 3.84 with an alpha level of .05 (5 pts)? Problem set 4: use the following information to answer questions 10-11 (20 points total): The issue of how much should be spend to solve particular U.S. social problems is a complex matter, and people have diverse and conflicting ideas on these issues. Race and social class have an impact on how people perceive the extent of government spending. The 2006GSS contains sev3eral questions on these topics. For this exercise, we present race and the variable NATFARE, which whether we were spending too much, too little, or the right amount of money to address welfare. Race of Respondent Spending on Welfare White Black Hispanic Total Too little 128 41 21 190 About right 197 32 21 250 Too much 185 31 19 235 Total 510 104 61 675 How many degrees of freedom for the table (5 pts)? Test whether race and NATFARE are independent (alpha level of .05). what do you conclude (15 pts)? RACE/Welfare Spending / White/Too little 128 White/About right 197 White/Too much 185 Black/Too little 41 Black/About right 32 Black/Too much 31 Hispanic/Too little 21 Hispanic/About right 21 Hispanic/Too much 19 Problem set 5: use the following information to answer questions 12-15 (20 points total): We continue our analysis from previous problem set, this time examing the relationship between social class (CLASS) and spending on welfare (NATFARE). Social Class Spending on Welfare Lower Class Working Class Middle Class Upper Class Total Too little 23 92 76 8 199 About right 12 113 133 10 268 Too much 12 127 99 7 245 Total 47 332 308 25 712 What is the number of degrees of freedom for this table (5 pts)? Calculate the chi-square (10 pts). Social Class/Welfare Spending / Lower/Too little 23 Lower/About right 12 Lower/Too much 12 Working/Too little 92 Working/About right 113 Working/Too much 127 Middle/Too little 76 Middle/About right 133 Middle/Too much 99 Upper/Too little 8 Upper/About right 10 Upper/Too much 7 Based on an alpha of .01, do you reject the null hypothesis (3 pts)? Explain the reason for your answer (2 pts).