When you click into your event setup, there will be a red button on the top right hand side of the webpage that will either say "Make Live" or "Hide Event". If the button says "Hide Event" then your event is live and people can book tickets for it.
You can also check if the event is live by opening the booking page. If this page says "Preview only" on the page then it is not visible to the public.
Please note that the event needs to be manually made live and does not operate automatically.