Homozygous - 2 genes
So the Showgirl has 2 naked neck genes, thus all of this birds offspring will get 1 gene from this bird there for be naked necked.
heterozygous- 1 gene
from a showgirl with only 1 nn gene only 50% of its offspring will inherit the nn gene. So crossed with a non-nn bird only 50% of chicks will be nn, but if crossed with a homozygous you get 50% homozygous nn and 50% heterozygous nn chicks, and if crossed with another heterozygous you would get 25% homozygous nn, 25% w/o nn gene and 50% heterozygous nn.
I Hope this makes sense.