Final answer:
When crossing two heterozygous dogs with genotypes Hh, we can expect 25% of their offspring to be homozygous for the smooth hair allele (hh).
Step-by-step explanation:
When two heterozygous dogs are crossed, where wire hair is represented by the dominant allele H and smooth hair is represented by the recessive allele h, we can determine the expected percentage of the offspring that will be homozygous for smooth hair by performing a Punnett square or by using the principles of Mendelian genetics.
In this case, both parents have the genotype Hh. The possible combinations of alleles that the offspring can inherit are: HH, Hh, Hh, hh. The hh genotype represents homozygous for smooth hair which occurs in 1 out of the 4 possible combinations. Thus, the expected proportion of homozygous smooth-haired offspring is 1/4, or 25%.