Sorry hun, but that's reverse. You want barred hens and a red rooster.
Sex linking works because there are certain color enhancing/masking genes (like the barring gene) that are carried on specific sex chromosomes... I might be a touch off on the labeling here, but I'm too lazy and it's early in the morning for me to go look it up exactly.. you'll get the point, just don't write any books off this info.
So, a rooster is ZZ, and the barring gene is on both Zs so he has a double dose of barring (BB).
A hen is WZ, so she's only got one Z and one dose of barring (Bb) because that barring gene is only carried on the Z chromosome.
That's why barred hens usually look a little darker than the males of the same breed. The barring gene makes white bars on a black bird = the more barring genes, the more white comes out.
So... when we cross a Rhode Island Red rooster (ZZ - but he isn't barred - he has NO barring gene) bb.
to a barred rock hen... WZ and Bb...
She passes that Z gene onto her male offspring, and since her barred gene is carried on the Z chromosome, she passes that to them as well.
The female offspring get the W from their mother, and no barring gene.
Thus, the roosters will be born with the classic barred bird look - the spot on the head, etc and will grow up with bars.
The females will be born all black and stay that way.
Why black? Because a barred rock is a black bird with white bars. With no white bars, it's just black, and black is dominant over red.
There's also columbian sex links, but I'll not go into that...