Explanation:
To record the critical values for a chi-square test, we need to know the degrees of freedom in addition to the level of significance. Assuming the degrees of freedom are not given, I will provide the critical values for degrees of freedom (k-1) at each level of significance:
At 10% level of significance:
- df = 9, Chi-square critical value = 14.6846
- df = 15, Chi-square critical value = 23.6848
- df = 21, Chi-square critical value = 31.4104
At 16% level of significance:
- df = 9, Chi-square critical value = 16.9189
- df = 15, Chi-square critical value = 26.2962
- df = 21, Chi-square critical value = 34.1694
At 22% level of significance:
- df = 9, Chi-square critical value = 19.0228
- df = 15, Chi-square critical value = 29.1407
- df = 21, Chi-square critical value = 37.5662
The critical values for a chi-square test increase with increasing degrees of freedom and increasing level of significance.