Calculating Chi-Square by Hand and Related Issues

We ask 40 people, "What is your age?" We code the responses as "young" and "old." We ask the same 40 people the extent to which they agree or disagree with the statement: "All people under 30 should be required to serve in the American armed forces." We code the responses "agree" and "disagree". We create the following cross-tabulation. (Note we combined the "strongly agree" and the "agree" into AGREE, and we combined the "strongly disagree" and the "disagree" into DISAGREE.)

1.    Fill in the percentages on the lines NEXT TO the numbers in the table above. Percentagize the table in a way that allows you to test the hypothesis: Old people are more likely than young people to agree that military service should be required.  
 
 

2.    What do you conclude from the percentages?

3.    Now, calculate the chi-square statistic by hand?  What is the value of the chi-square?

4.    How many degrees of freedom are associated with the table?

5.    What is the significance level of the chi-square you computed?

6.    Is the relationship between age and opinion about military service statistically significant at the .05 level?

7.    Is the relationship between age and opinion about military service statistically significant at the .01 level?

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