#### 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=5.77355E-4=0.000577355. 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.