Question

Which is the best example of a hypothesis leading to new experimental methods?

Answer 1

The answer to this question seems pretty specific and is probably in some assigned reading..
An example, however, might be if your hypothesis questioned a higher level of experimentation.
For example,
your experiment is to see the witness the result of a mixture of baking soda and vinegar. If your hypothesis was that the reaction would occur faster when heat was added, then you would have to further experiment to see wether or not that was true.

Answer 2

The best example of hypothesis which leads to new experiment methods was done by Morgan where he used fruit flies.

Thomas Hunt Morgan continues on genetic research which is of Gregor Mendel.