You're welcome and your 02 4.7 PCV is the same as my 04 4.7 which is a Mopar 53032800AA like below.
More Information for MOPAR 53032800AA
I have a brand new PCV valve down the basement and put a caliper on it where the hose end is 9/16" OD w/o the flared ridge. I have an old piece of 1/2" ID hose I tried shoving on and it would best to heat it if you want to get it on there it fits so tight.
And speaking of heating I've read before to let your engine warm up with hood down to heat up those PCV area parts before trying to change it out. Also my parts bud at the dealer told me to use a heat gun or hair drier to heat up the area around the oil fill plastic where the PCV port is so you don't crack/damage it when twisting the PCV out to remove it. And don't believe you keep twisting it to remove and maybe something like 1/4 turn.
Not much luck finding 9/16" ID vacuum hose so you may have to go with 1/2" ID. Also modern vacuum hose isn't fuel resistant and certain engine fumes can eat it up. I'll often use fuel injector hose instead of vacuum hose but the plain fuel hose is a lot cheaper would likely work. But vacuum hose is easier to work with w/o the nylon threads embedded in the hose itself and vacuum hose stretches more. Good luck.