When working on getting accurate insurance quotes, it is recommended that you provide any information regarding tickets that you have. This quote is just an estimate and needs information from you to get as accurate a quote as possible.
If you decide to go with that particular car insurance company, they will determine whether or not the ticket will play a role in your automobile insurance price. If it does play a role, the price you were quoted will be much more accurate. Typically, a ticket for not wearing a seatbelt shouldn't have a significant impact on your rates, but that can vary by company. If it does not play a role, your insurance price may be a little lower than expected.
Your insurance company will be able to gather relevant information about tickets when putting together your insurance policy so it is best to be as honest and straightforward as possible so as to not waste your own time and to make sure you know what you could potentially pay up front.