Final answer:
Scientific knowledge is based on observation and inference, evidenced by Rutherford's gold foil experiment and the inference of the nucleus, which was later supported by Chadwick's discovery of the neutron.
Step-by-step explanation:
Scientific knowledge is indeed based on observation and inference, as demonstrated by Ernest Rutherford's gold foil experiment. By observing the scattering of alpha particles during his experiments, Rutherford inferred the existence of a densely packed, positively charged nucleus within the atom. Similarly, James Chadwick used evidence from experiments like Rutherford's, involving the behavior of atoms under experimental tests, to infer the presence of neutrons.