Given below are two statements $:$
Statement $I :$ Ozonolysis followed by treatment with $Zn, H_2O$ of $cis-2-butene$ gives ethanal.
Statement $II :$ The product obtained by ozonolysis followed by treatment with $Zn, H_2O$ of $3,6-dimethyloct-4-ene$ has no chiral carbon atom.
In the light of the above statements,choose the correct answer from the options given below.

• A
  Both Statement $I$ and Statement $II$ are true
• B
  Statement $I$ is false but Statement $II$ is true
• C
  Statement $I$ is true but Statement $II$ is false
• D
  Both Statement $I$ and Statement $II$ are false