Question

#8. Now look at the relationship between marital status (MSTAT) and college graduation using a chi-square test. What would you conclude? A. Married people are more often college graduates than singles B. College graduates are more often married than non-graduates C. There is not a significant relationship between marital status and college graduation D. Both “a” and “b” are true

Using alpha = .05

Case Processing Summary                      
   Cases                  
   Valid       Missing       Total  
   N   Percent   N   Percent   N   Percent
Marital Status * COLLEGE   400   100.0%   0   0.0%   400   100.0%

Marital Status * COLLEGE Crosstabulation              
Count
       COLLEGE       Total
       .00   1.00  
Marital Status   Single   79   84   163
   Married   87   150   237
Total       166   234   400

Chi-Square Tests                  
   Value   df   Asymptotic Significance (2-sided)   Exact Sig. (2-sided)   Exact Sig. (1-sided)
Pearson Chi-Square   5.499a   1   .019      
Continuity Correctionb   5.026   1   .025      
Likelihood Ratio   5.487   1   .019      
Fisher's Exact Test               .023   .013
Linear-by-Linear Association   5.485   1   .019      
N of Valid Cases   400              
a 0 cells (0.0%) have expected count less than 5. The minimum expected count is 67.65.                  
b Computed only for a 2x2 table                  

Answer 1

Answer: D. Both “a” and “b” are true

Explanation: From the result summary,

Pearson Chi-Square

P-value 0.019<0.05

P-value for the Pearson Chi-Square test is less than 0.05 at 5% significant level. It indicates that both the variables are dependent.

Linear-by-Linear Association

P-value 0.019<0.05

P-value for the Linear-by-Linear Association test is less than 0.05 at 5% significant level. It indicates  both the variables are linearly dependent such that one variable increases with other linearly.