Based on test results, patient #3 with HBsAg negative and anti-HBc positive signifies what condition?

The results for patient #3 show an HBsAg negative and anti-HBc positive status, which signifies a resolved hepatitis B infection. The presence of anti-HBc (antibody to hepatitis B core antigen) indicates that the person has been exposed to the hepatitis B virus at some point, while the absence of HBsAg (hepatitis B surface antigen) indicates that the virus is not currently active in the bloodstream. This serological profile typically signifies that the individual has cleared the infection and has developed immunity to hepatitis B, either naturally or through vaccination.

In contrast, other options would present different serological markers or combinations. Chronic hepatitis B infection would show positive HBsAg and possibly positive anti-HBc, indicating ongoing infection. Acute hepatitis A is not related to hepatitis B virus infection and would typically involve different antibodies, such as anti-HAV. Acute hepatitis B would show positive HBsAg along with other markers indicating active infection. The results here distinctly point to a past infection that has been resolved, leading to immunity, which is why the option of resolved hepatitis B infection is the correct interpretation.