Do I need to become PCI compliant

Hi
Sorry to have to repeat myself, but I did get a support reply from Jack Kitterhing who asked me which payment gateway I am using.

Unfortunately I can't seem to find the place on his reply where I can actually let him know.

I'm using Stripe
I'm using Market Press
I have an SSL.

Do I need to become PCI compliant?

Thanks,
Esther