In a water-treatment materials study, a student adds solid \(\text{Na}_2\text{O}_2\text{(s)}\) to excess \(\text{H}_2\text{O(l)}\) at \(25^\circ\text{C}\). The solid disappears, and chemical analyses give the results shown.

Stage	Species identified in the liquid
Before addition	\(\text{H}_2\text{O(l)}\)
After the solid disappears	\(\text{Na}^+\text{(aq)}\), \(\text{OH}^-\text{(aq)}\), and \(\text{H}_2\text{O}_2\text{(aq)}\); no \(\text{O}_2^{2-}\text{(aq)}\) is detected

The oxidation state of oxygen is \(-1\) in both \(\text{O}_2^{2-}\) and \(\text{H}_2\text{O}_2\). Which statement best classifies the process and justifies the classification?