1. The problem asks for the blood type of a woman with the genotype $I^A i$ at the ABO locus. 2. The ABO blood group system is determined by the alleles $I^A$, $I^B$, and $i$. The alleles $I^A$ and $I^B$ are codominant, and both are dominant over $i$. 3. The genotype $I^A i$ means the woman has one $I^A$ allele and one $i$ allele. 4. Since $I^A$ is dominant over $i$, the phenotype (blood type) will be type A. 5. Therefore, the blood type of a woman with genotype $I^A i$ is A. Final answer: 5. A