1. -
For scientists to be able to test the hypothesis they need enough information which they will obtain through studies and observation. What they'll have to do is compare small-mouth caterpillars, big-mouth caterpillars and moths - they'll have to find out if the moths came from big-mouth or small-mouth caterpillars.
2. -
Scientists will have to go to the forest and look for caterpillars and observe them. If the ratio of big-mouth caterpillars is higher, it means that for now, the hypothesis is correct and that natural selection is being applied.
3. -
To assure that it wasn't a coincidence or that the mouth-size survival was due to a different factor, they'll have to collect a second wave of data, that needs to be compatible with the first one for the hypothesis to be proved correct.
Hope it helped,
BiologiaMagister