SOC 383: Social Analysis SOCI 3443: Social Statistics Homework Assignment 11 Note: Please show all your work including SPSS printouts. Points will be taken out if you fail to show your work. 1. A...

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SOC 383: Social Analysis SOCI 3443: Social Statistics Homework Assignment 11 Note: Please show all your work including SPSS printouts. Points will be taken out if you fail to show your work. 1. A random sample of 30 colleges has been taken and, for each college, average growth in student population over the past five years has been calculated. The colleges are divided into four types by size and funding source. Small Large Small Large Private Private Public Public 1 2 4 2 -2 0 3 3 0 -1 -2 0 -1 0 5 4 -2 7 8 6 5 4 4 -1 1 0 5 2 2 2 a) Is there a significant difference in growth rate by type of college? (Set α=.05 level) (10 points) b) If yes, show how they differ. (10 points) 2. A pediatrician speculated that frequency of visits to his office may be influenced by type of medical insurance coverage. As an exploratory study, she randomly chose 15 patients: 5 whose parents belonged to a health maintenance organization (HMO), 5 whose parents had traditional medical insurance, and 5 whose parents were uninsured. The data are presented below: HMO Traditional None n1=5 n2=5 n3=5 1=7.8 2=4.8 3=2.8 S1=2.49 S2=2.28 S3=1.48 Overall mean ( t)=5.13 a) Test the null hypothesis that type of insurance coverage has no effect on frequency of visits (set α=.05 level) (10 points). b) Conduct a multiple comparison of means by Scheffe method to determine exactly where the significant differences occur. (6 points) c) Calculate the correlation ratio and interpret the result. (3 points) 3. A health researcher was interested in comparing three methods of weight loss: low-calorie diet, low-fat diet, and high-exercise regimen. He selected 15 moderately overnight subjects and randomly assigned 5 to each weight-loss program. The following weight reductions (in pounds) were observed after a one-month period: ______________________________ Low Low-fatHigh Calorie diet diet exercise ______________________________ 7 77 7 68 5 87 4 89 5 68 _____________________________ a) Test the null hypothesis that the extent of weight reduction does not differ by type of weight-loss program. (Set α=.01 level) (10 points) b) If the result at a) rejects the null hypothesis, use an appropriate multiple comparison procedure and determine where the significant differences occur. (5 points) c) Calculate the correlation ratio and interpret the result. (3 points) 4. On the following descriptive results generated from random samples of four different social classes, test the null hypothesis that neighborliness does not vary by social class. (Note: higher scores indicate greater neighborliness.) If the results show that neighborliness does vary by social class, perform the Scheffe test and determine where the significant differences occur (Set α=.05 level) (15 points) LowerWorkingMiddleUpper n1=6 n2=4 n3=4n3=5 1=6.8 2=5.0 3=5.03=2.8 S1=1.6 S2=2.9 S3=.8S3=1.5 Overall mean (t)=5.0 5. Using appropriate SPSS procedures, retest the hypothesis presented in Question 1. (10 points) 6. Select two variables from gss2016.sav file and formulate a hypothesis between an interval/ratio dependent variable and a nominal independent variable that has three or more categories (15 points). a) Describe the hypothesis and identify the independent variable and the dependent variable. b) State the statistical hypotheses and list appropriate assumptions. c) Select an appropriate hypothesis testing technique and use appropriate SPSS statistical procedures to test the hypothesis. d) Do the data support your hypothesis?