Compute column percentage for the table to clarify the patter of the relationship. Which gender is more likely to prefer the Democrats?
- Many analysts have noted a “gender” gap in U.S. elections, with women more likely to vote for the Democratic candidate. A sample of university faculty has been asked about their political party preference. Do their responses indicate a significant relationship between gender and party preference for this group? (10 points)
Gender | |||
Party preference | Male | Female | Totals |
Democrat | 10 | 15 | 25 |
Republican | 15 | 10 | 25 |
Totals | 25 | 25 | 50 |
- What is the column variable (independent variable)? What is the row variable (dependent variable)? (2 points)
- What is the value of column marginal? (1 point)
- In order to examine whether there is a significant relationship between gender and party preference for this group, please first state the null hypothesis and alternative hypothesis (two-tailed) (1 points)
- Since two variables are both nominal level variables, chi-square analysis should be conducted to examine the relationship between gender and party preference. Please conduct chi-square analysis and report the findings.
- Construct an expected frequency table (1 points)
- Construct a computation table and calculate the Chi-square value (see example on lecture week 11_chi-square, page 10). (2 points)
- Given the alpha level you selected and degree of freedom, compare chi-square (critical) and Chi-square (obtained), make the decision and state conclusion (1 points)
- Compute column percentage for the table to clarify the patter of the relationship. Which gender is more likely to prefer the Democrats? (2 points)
- Occupational prestige score for a sample of fathers and their oldest daughter are presented below. Analyze the relationship between father’s and daughter’s prestige (5 points)
Family | Father’s Prestige | Daughter’s Prestige |
A | 80 | 82 |
B | 78 | 77 |
C | 75 | 68 |
D | 70 | 77 |
E | 69 | 60 |
F | 66 | 52 |
G | 64 | 48 |
H | 52 | 57 |
- Compute the slop (b) and find the intercept (a) (Hint: construct the computation table as Table 13.3 in Healey’s book) (2 points)
- State the regression line (equation). (0.5 points)
- What prestige score would you predict for a daughter whose father had a prestige score of 72? (0.5 point)
- Compute r and r2 and interpret these two indicators in a sentence or two.
(2 points)