#7 (due by 11:59pm CST on Sunday, April 10th) 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 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Region South South North North North North North South South South North North North North South Health Insurance Yes Yes No No Yes Yes Yes No No No Yes Yes No No No 1. 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 2. Construct a bivariate table containing the appropriate percentages for each cell in the table (5 pts)? Region Health Insurance? Yes No South North 100% 100% 1 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. Position on Abortion Support Oppose Religious Affiliation Protestant Catholic 156 86 296 139 3. Identify the independent variable (5 pts). 4. Calculate the marginal for the table below (10 pts)? Position on Abortion Support Oppose Column Marginal Religious Affiliation Protestant Catholic 156 86 296 139 Row Marginal 5. Calculate the appropriate percentages for each cell using the conventions introduced in Chapter 10 (10 pts). Position on Abortion Support Oppose Column Marginal Religious Affiliation Protestant Catholic Row Marginal 2 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 Satisfied Unsatisfied Column Marginal Male 309 107 416 Female 255 278 533 Row Marginal 564 385 949 6. 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 Satisfied Unsatisfied Column Marginal Male Female 416 533 Row Marginal 564 385 949 7. Calculate the number of degrees of freedom associated with the chi-square test for these data (2 pts). 8. Calculate the chi-square values (10 pts) Cell (X,Y) Male/Satisfied Male/unsatisfied Female/satisfied Female/unsatisfieed Fo 309 107 255 278 Fe (Fo-Fe) (Fo-Fe)2 [(Fo-Fe) 2 / Fe] 9. 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)? 3 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. Spending on Welfare Too little About right Too much Total Race of Respondent Black Hispanic White 128 197 185 510 41 32 31 104 21 21 19 61 Total 190 250 235 675 10. How many degrees of freedom for the table (5 pts)? 11. Test whether race and NATFARE are independent (alpha level of .05). what do you conclude (15 pts)? RACE/Welfare Spending fo fe fo fe ( fo fe )2 ( fo fe ) fe White/Too little White/About right White/Too much Black/Too little Black/About right Black/Too much Hispanic/Too little Hispanic/About right Hispanic/Too much 128 197 185 41 32 31 21 21 19 2 4 2 / 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). Spending on Welfare Too little About right Too much Total Lower Class 23 12 12 47 Social Class Working Class Middle Class 92 76 113 133 127 99 332 308 Upper Class 8 10 7 25 Total 199 268 245 712 12. What is the number of degrees of freedom for this table (5 pts)? 13. Calculate the chi-square (10 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 23 12 12 92 113 127 76 133 99 8 10 7 2 14. Based on an alpha of .01, do you reject the null hypothesis (3 pts)? 15. Explain the reason for your answer (2 pts). 5 /