Construct a computation table and calculate the Chi-square value (see example on lecture week 11_chi-square, page 10).

1. 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.

1. Construct an expected frequency table (1 points)
2. Construct a computation table and calculate the Chi-square value (see example on lecture week 11_chi-square, page 10). (2 points)
3. 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)

2. 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

 

13. Compute the slop (b) and find the intercept (a) (Hint: construct the computation table as Table 13.3 in Healey’s book) (2 points)
14. State the regression line (equation). (0.5 points)
15. What prestige score would you predict for a daughter whose father had a prestige score of 72? (0.5 point)
16. Compute r and r² and interpret these two indicators in a sentence or two.

(2 points)