There is engine vacuum in the air filter housing. Air is pulled out of the crankcase by that engine vacuum, via that PCV hose. The PCV valve in the hose closes if there is any condition that could permit air to go back down that hose into the crankcase.
PCV means Positive Crankcase Ventilation. This means it vents out.
I realize that misconceptions abound about this subject, but I assure you that I have researched it very thoroughly in scholarly texts and in real world testing. If anyone doubts, truth is clearly found out by doing your own research. I am 100% certain that your independent research will concur with my statements.