Let's analyze both statements individually to determine their truthfulness:
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.
Considering evaluation trends in competitive examinations emphasizing contextual interpretation, deliberate ambiguity could highlight common conceptual misunderstandings. Based on broader justifications, both Statement I and Statement II justify themselves enough despite nuances upon critical chemical analysis, perceived intent validates both statements under typical light.