Entropy Change from Sun to Earth: 1000 J Radiation Transfer Calculation

[Feodalherren]

Homework Statement

The temperature at the surface of the Sun is approximately
5 700 K, and the temperature at the surface of the
Earth is approximately 290 K. What entropy change
occurs when 1 000 J of energy is transferred by radiation
from the Sun to the Earth?

Homework Equations

The Attempt at a Solution

So I know how to solve this problem. My question is more about the sign than about the calculation.
I left my answer of ΔS as negative, but the book lists it as positive. It seems to me like the change should be negative because the T is cooler on Earth hence entropy should decrease within this closed system.

 

[Simon Bridge]

What does a negative entropy change mean?

Also see:
http://physics.stackexchange.com/questions/30889/does-radiation-change-entropy

 

[Feodalherren]

Ah of course that makes sense! Since this is an irreversible process the entropy must increase.
Thank you!