Answer
There is sufficient evidence to reject that the three categories have the same mean scores.
Work Step by Step
The given P-value: P=0.000008. If the P-value is less than the significance level, then this means the rejection of the null hypothesis. Hence:P is less than α=0.05, hence we reject the null hypothesis. Hence we can say that there is sufficient evidence to reject that the three categories have the same mean scores.