Sec. 3. Each petition filed under section 2 of this chapter must state the following:
(1) The public question for which the petitioner desires a recount.
(2) The precincts within the county in which the petitioner desires a recount.
(3) That the petitioner voted on the public question in the election.
(4) That the petitioner in good faith believes that the votes cast on the public question at the election in the precincts were not correctly counted and returned.
(5) That the petitioner desires a recount of all the votes cast on the public question in the precincts specified.