Answer
Since the magnitude of the impulse on the lizard during the slap is much smaller than the magnitude of the impulse on the lizard due to gravity, the push must provide the primary support for the lizard.
Work Step by Step
In part (a), we found that the magnitude of the upward impulse on the lizard during the slap is $~~0.0045~kg~m/s$
In part (b), we found that the downward impulse on the lizard due to gravity is $~~0.529~kg~m/s$
Since the magnitude of the impulse on the lizard during the slap is much smaller than the magnitude of the impulse on the lizard due to gravity, the push must provide the primary support for the lizard.