Concept:
Restriction endonucleases cut DNA at specific recognition sequences and may generate:
• Blunt ends
• \(5'\) overhangs
• \(3'\) overhangs
A \(3'\) overhang is produced when the enzyme leaves a short single-stranded extension at the \(3'\) end of DNA.
Step 1: Understanding which enzyme produces \(3'\) sticky ends.
Pst I recognizes the sequence:
\[
5' \; CTGCA|G \; 3'
\]
and cuts DNA in such a way that:
\[
3' \text{ overhangs are produced}
\]
Therefore:
\[
\boxed{\textit{Pst I} \text{ generates } 3' \text{ overhangs}}
\]
Step 2: Understanding the other restriction enzymes.
• EcoRI produces \(5'\) overhangs.
• Hind III also produces \(5'\) overhangs.
• Sau3AI generates \(5'\) sticky ends compatible with BamHI ends.
Hence, among the given options, only Pst I produces \(3'\) overhangs.
\[
\boxed{Pst I \Rightarrow 3' \text{ sticky ends}}
\]