Concept:
Hot \( KMnO_4 \) oxidizes any alkyl side chain on benzene to benzoic acid, provided there is at least one benzylic hydrogen.
If no benzylic hydrogen is present, oxidation does not occur.
Step 1: {Check each compound for benzylic hydrogen.}
(A) Toluene (\( -CH_3 \))
Has benzylic H \( \Rightarrow \) gives benzoic acid ✔
(B) Benzyl alcohol (\( -CH_2OH \))
Has benzylic H \( \Rightarrow \) gives benzoic acid ✔
(C) \( n \)-butylbenzene (\( -CH_2CH_2CH_2CH_3 \))
Has benzylic \( CH_2 \) \( \Rightarrow \) gives benzoic acid ✔
(D) \( t \)-butylbenzene (\( -C(CH_3)_3 \))
No benzylic hydrogen \( \Rightarrow \) no oxidation ✖
(E) Styrene (\( -CH=CH_2 \))
Has benzylic hydrogen \( \Rightarrow \) oxidizes to benzoic acid ✔
Step 2: {Conclusion.}
Only the compound without benzylic hydrogen does not give benzoic acid.
Step 3: {Final answer.}
\[
\boxed{\text{(D) } t\text{-butylbenzene}}
\]