Final answer:
For a chi-square test at a 0.05 significance level, common critical values are 3.84, 5.99, 7.82, and 9.49 corresponding to degrees of freedom 1, 2, 3, and 4 respectively. Without exact degrees of freedom, we cannot specify the closest critical value, but if df is 2, then the critical value would be 5.99.
Step-by-step explanation:
The critical value for a chi-square test depends on the significance level and the degrees of freedom (df). For a significance level of 0.05 and assuming that the degrees of freedom have not been provided, we generally refer to a chi-square distribution table or relevant statistical software to find the critical value. However, common critical values for df=1 are around 3.84, for df=2 around 5.99, for df=3 around 7.82, and for df=4 around 9.49 at the 0.05 significance level.
Without exact degrees of freedom, we cannot specify the closest critical value. However, if we assume that the degrees of freedom is 2 (based on information typically provided before such questions), the closest critical value would be 5.99.