The local boards of education shall be bound by the list of schools which the State School Superintendent shall furnish. A local board may require an applicant for a grant to furnish such information as may be deemed necessary to enable such local board to pass upon such application. A failure by the applicant to produce all such information and records as may be requested shall be grounds for denying the application without further investigation. In the event any application is denied, the local board shall give written notice thereof by mail to the parents applying therefor. Within ten days after receipt of such notice, the parents may file a written request for hearing with the local board, in which event such a hearing shall be afforded in not less than ten days from the date of receipt of such request. Any parents, school, or institution adversely affected by any final determination made by the local board as provided in this Code section may obtain review thereof by appeal to the State Board of Education, which appeal must be filed in writing not less than 15 days after such final determination. In all other respects, all such appeals to the state board shall be made and determined in accordance with the rules and regulations of the state board governing appeals from local boards of education.