Answer: 27.688
Step-by-step explanation:
The critical chi-square value [tex]\chi^2_{(df,\alpha)}[/tex] depends on significance level ([tex]\alpha[/tex]) and degrees of freedom (df) .
Given significance level: ([tex]\alpha[/tex]) = 1% = 0.01
Degrees of freedom (df)= 13
From the chi-square table, the critical chi-square value for df = 13 and [tex]\alpha =0.01[/tex]
is [tex]\chi^2_{(df,\alpha)}=27.688[/tex]
Hence, the required critical value = 27.688
