Answer
$X^2_0\lt X_α^2$: null hypothesis is not rejected.
There is not enough evidence to conclude that the dice are not fair.
Work Step by Step
$H_0:$ the dice are fair versus $H_1:$ the dice are not fair
In MINITAB, enter the observed values in C1 and the proportions in C2.
Select Stat -> Tables -> Chi-square Goodness-of-Fit Test (One Variable)
Select Observed counts and enter C1. Select specific proportions and enter C2.
Click OK.
$X^2_0=4.93985$
$k=11$.
So, $d.f.=11-1=10$
$X_α^2=X_{0.01}^2=23.209$
(According to Table VII, for d.f. = 10 and area to the right of critical value = 0.01)
Since $X^2_0\lt X_α^2$, we do not reject the null hypothesis.
Also, P-value $=0.895\gtα$
