wow this has turned very negative!
Yes there are deaths both at home and hospital. There are also benefits from both and many happy stories of both.
You need to do what you really want to do. Tell your dp to chat to your midwife about home births, mine did and he was very much reassured. I've had two and looking forward to another in March.
My first was a hospital birth and we had one midwife shared around several women.
My home births have been attended by 2 midwives, one also had a student. They carry the necessary resuc equipment, and like others have said the journey to hospital if needed could be the same as waiting for a surgeon to become available for you in hospital.
There are studies to show and my births are agreeable, that a woman has a higher chance of labouring naturally at home. Stepping into a clinical environment like a hospital can and is often enough to slow down contractions. My babies have all been born within a couple of hours at home, and i truly believe if i'd had to make a car journey and settle into hospital the whole thing could've taken longer.
My personal reason for home birth, as well as the comfort of your own home, is that i'm well away from unnecessary intervention which hospitals can all too quickly use as soon as birh isn't following the text book.
Best of luck whatever you choose x