This is an argument that has been going on for a very long time.  There are
good points and bad points on both sides

http://www.maxshouse.com/outdoor_risks.htm  Phil site about out door cats

It sounds kind of childish that your parents are doing this  what else is
going on  do then not like the cat  or are they just plain ignorant about
the fact there is predators in the area.

If you present them with material  and they don't listen.  This might be
crude  but point out the next unfortunate cat that has been hit by a car and
tell them this is what happens to out doors cats do you want that to happen
to ours.  If they don't listen or seem to listen.  Well  it is time to find
your own place and rule your own roost very unfortunate for the furball  it
is their house and their rules.

It only takes a second for a kitten to escape from your house or the yard.
The outside world is full of kitty dangers, from chemicals to cars to
intolerant neighbors.

But the number-one killer and crippler of outdoor cats is car accidents.
Even usually attentive cats lose their concentration and dash into oncoming
traffic when being chased by a dog, pursuing prey, or distracted by other
kitty delights.

"Free-ranging cats in the United States have an average lifespan in   the
general population of only 3 to 5 years; indoor cats have an average
lifespan of 12 years and frequently live longer than 20 years. Car accidents
are the biggest killers of free-ranging cats"

(Karen L. Overall, M.A., V.M.D., Ph.D., Diplomate, American College of
Veterinary Behavior; Department of Clinical Studies School of Veterinary
Medicine, University of Pennsylvania, Philadelphia, Pennsylvania)

By the way  I like the poem on your Blob

Hello all,

I am still arguing with my parents over this. I am in my 30s and the cat is
mine, but the house is theirs. But my parents still do not understand the
dangers of cats being outdoors.

They think that is bad to keep a cat indoors. They think that my cat (Who
hates being by herself), will be close by them. But my parents do not
understand that she will uncharacteristically, when they are not looking, be
lost. I should also mention that there are coyotes in my neighborhood too.

Plus my parents think that I am being too over protective. And I have talked
to my own mother before we got the cat that I would like my cat to stay
indoors.

No matter what material I have presented to them, they still think that my
cat needs freedom. I know that my parents are going to bring up the fact
that I don't take care of my cat, but I work all the time. Can anybody help
me with this situation?

 Hello all,

 I am still arguing with my parents over this. I am in my 30s and the cat is mine, but the house is theirs. But my parents still do not understand the dangers of cats being outdoors.

 They think that is bad to keep a cat indoors. They think that my cat (Who hates being by herself), will be close by them. But my parents do not understand that she will uncharacteristically, when they are not looking, be lost. I should also mention that there are coyotes in my neighborhood too.

 Plus my parents think that I am being too over protective. And I have talked to my own mother before we got the cat that I would like my cat to stay indoors.

 No matter what material I have presented to them, they still think that my cat needs freedom. I know that my parents are going to bring up the fact that I don't take care of my cat, but I work all the time. Can anybody help me with this situation?

 Seeing as you work all of the time, why do you have a cat in the first place? And why do you impose on your parents?

 Why is it that in your 30's you're still living with your parents? Suffering from "Failure to Launch?"

 If you want to rectify this situation - why not move out?