The lieutenant governor shall notify the committee that the petition was improperly filed upon determining that
(1) there is an insufficient number of qualified subscribers;
(2) the subscribers were not resident in at least three-fourths of the house districts of the state;
(3) there is an insufficient number of qualified subscribers from each of the house districts described in (2) of this section; or
(4) the petition was not filed within 90 days after the adjournment of the legislative session at which the act was passed.