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A 30-year-old African-American woman returns to the office for a second prenatal visit. She is 12 weeks pregnant and this is her first pregnancy. Results of laboratory studies that were ordered at her first visit show:

Blood
Hematocrit 28%
Hemoglobin 9.2 g/dL

Hemoglobin electrophoresis
Hemoglobin A1 64%
Hemoglobin S 32%
Hemoglobin A2 4%
Mean corpuscular hemoglobin (MCH) 26 pg/cell
Mean corpuscular hemoglobin concentration(MCHC) 32% Hb/cell
Mean corpuscular volume (MCV) 74 μm3

Which of the following is the most likely cause of her anemia?
A) α-thalassemia trait
B) β-thalassemia trait
C) Iron deficiency
D) Physiologic anemia of pregnancy
[E) Sickle cell trait]

for me answer is c
but the example answer was e which one is right because am not trusting those given answers