Finding reactants in a azo-coupling reaction whose product is given Find the reactants of the following azo-coupling reaction:


My solution would look like this:

My reason for the above answer
The amino Group is more activating than the nitro group and therefore the diazonium salt had to be on the left ring.
Is this correct? If not, what is the correct explanation?
Edit: To get to the azo-coupling product shown above I should use a high temperature, or? So, the reaction has to be thermodynamically controlled because the azo-group is localized on the  carbon.
The comments summarized the reasons well: the diazotization reaction for the initial structure would produce a mixture of $\alpha$-azo and $\beta$-azo compounds, which would give a mixture of products. Also, diazonium salts couple with activated aromatic systems. The diazonium salt shown would not couple with nitrobenzene, which is highly deactivating and does not favour electrophilic aromatic substitution.
Also, having an electron withdrawing group on the diazonium salt favours the reaction. Thus, the correct solution would have the azo group on the smaller, less activated benzene ring rather than the larger, more activated naphthalene ring.