1. Officials of a large, public university are concerned with having adequate resources to counsel students who change majors. In a random sample of 975 students from the university, it was found that 463 of them changed majors during their college years. What is the 95% confidence interval of the percentage of students at this university who change majors? If the university has 37,500 students, what is the confidence interval in terms of the number of students who change majors during their college years? ( 9 points)
2. Charles tested whether years of service (years) and gender (gender) explained salaries of professors at major universities. From his sample, he estimated a sample regression equation of:
   Predicted Salary = $45,000 + $3,000*Years - $500*Gender - $1,000*(Years*Gender)
   Where Gender = 1 for females and 0 for males.
   Assume that all coefficients are statistically significant.
   Interpret the coefficients for YEARS and YEARS*GENDER. (6 points)
3. Please identify each of the following statements as either TRUE or FALSE.

1. If three events are mutually exclusive and they are the only three events that can occur, then the sum of their probabilities is equal to 1.
2. The Central Limit Theorem demonstrates that, under certain conditions, small samples (n < 15) can be used to make inferences about population means.
   
3. Jane tested whether average starting salaries of recent graduates differed by degree program. She collected salary data of random samples of recent graduates of public policy, public health, environmental studies, and political science programs. Her analysis consisted of independent samples t-tests to compare the pairs of groups. She conducted an appropriate analysis.
   
4. Joe tested whether a relationship existed between alcohol usage and suicide rates among states, both ratio-level variables. He used a correlation to test the relationship, which was an appropriate method of analysis.
5. After the recent Presidential election, a CNN correspondent reported that "Barack Obama won the ‘female vote’ as 67% of female voters voted for him." Therefore, we can conclude that gender played a role in the election.

1. Use the "State s " dataset and SPSS for the following analysis . (3 0 points)
   The "States" dataset includes election, demographic, and political data for all 50 states. Labels for the variables are included in the dataset, but a description of the variables is also in the Appendix (Table A-2) of Pollock (3 ^rd Edition).
   1. Provide an appropriate measure of central tendency, an appropriate measure of dispersion, and a histogram for the variable bush 04 , which is the percentage of a state’s votes that were won by George Bush in the 2004 U.S. Presidential election.
   2. Create a model that attempts to explain the Bush vote ( bush04 ) among the U.S. states in the 2004 Presidential election. Your model must include at least three variables. Your grade will be based on your analysis, use of appropriate variables, and the clarity and organization of your writing.
      On no more than two page s (NOT single-spaced) provide an appropriate summary of your analysis. This summary should include a reason for why you chose each variable and the relationship you expected between each variable and bush04 . You should include
      important information about your overall model, as well as individual variables. Discuss whether the model’s findings were what you expected.
   3. One assumption of linear regression is a linear relationship between the independent variables and the dependent variable. State the other assumptions and whether or not they are met.
   4. For part "d", provide all of the SPSS syntax and output.
2. Use the " NES2004 " dataset and SPSS for the following question. (30 points)

The 2004 National Election Study (NES2004) was conducted by the University of Michigan’s Institute for Social Research. The study included a random sample of 1,212 U.S. citizens of voting age. The variables identify the person’s political party, ideology, and feelings toward political candidates and topics. Most of the variables are nominal and ordinal. The level of measure for each variable is not accurately identified in the data – make your own determination about a variable’s level of measure.

A "Feeling Thermometer" is a quantitative variable ranging from 0 to 100, which indicates the respondent’s feelings toward a topic or person. For example, the Bush_thermometer is the respondent’s feelings toward George Bush. 0 is extremely bad feelings (cold) and 100 is extremely good feelings (warm).

After looking at the variables (labeled in SPSS and also in Table A-4 of Pollock), choose a question that you can address by using NES2004 data in an ANOVA, Chi-Square, or independent samples t-test.

1. On no more than one page (NOT single spaced) , provide a summary of your question, method, and findings. Your grade will be based on your analysis, use of appropriate variables, and the overall clarity and organization of your answer.
   Note: Please make sure that you adequately identify (in SPSS) missing values for your chosen variables.
2. State the assumptions of your method of analysis and whether these assumptions are met.
3. Provide all of the SPSS syntax and output.

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Solution: The downloadable solution consists of 13 pages, 1479 words and 11 charts.
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