Is there a relationship between passing a traditional syntax test and the results of a grammaticality judgment test? The data in the contingency table below, from Jacqueline Schachter (1988), represent the results of the two tests given to 21 Korean-speaking learners of English.

                                                    Syntax text

                    pass        fail

Gram.      pass       13           2
Judg.
Test       fail       43          26
 

Answer the following questions: 

1. Are Schachter's data of the right type to perform Chi-Square?
    
    
2. What are the degrees of freedom?
    
    
3. Hand-calculate the Chi-Square and write the result below.
    
    
4. Would you need to employ a correction for continuity for these data?
    
    
5. Is the result significant at p<.01?
    
    
6. Think through the operationalization of the variables. How informative is the information? Can you suggest some alternative operationalization?