Can we check if we are booked on a flight?

After reading some of the holiday complaints and disasters,
it occurred to me that we don't actually know how safe our holiday is.
We've never had a problem before, but there's always a first time I suppose.

We go to Turkey in September. It's all fully booked and paid for.
We've received the hotel vouchers through the post, but the air travel
tickets don't arrive till just before the holiday.
It's always a worry till the tickets drop through the door.

We know the flight times and number, is there a way of checking we are actually booked on that flight?
It would be a weight of our minds if we could just check!