Given below are two statements:
Statement $I$: The halogen that makes the longest bond with hydrogen in $HX$ has the smallest covalent radius in its group.
Statement $II$: $A$ group $15$ element's hydride $EH_3$ has the lowest boiling point among corresponding hydrides of other group $15$ elements. The maximum covalency of that element $E$ is $4$.
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
  Both Statement $I$ and Statement $II$ are false.
• D
  Statement $I$ is true but Statement $II$ is false.