How is a problem statement and hypothesis connected

Problem statement is a question that comes to the mind and then stated whereas hypothesis is given after the question has been identified and the background research has been done.

Problem statement is just a question while hypothesis is an answer to the problem statement that can be proved or disproved. The experiment is carried out after the hypothesis is given in order to validate it. The data of the experiment is studied and the results are interpreted. The results then either validate the given hypothesis.