Statement:\nThe American presidential election matters not just to Americans but to the entire world.\n\nConclusions:\nI. World affairs are highly influenced by the policies of the power-bearers in the United States.\nII. It is the American President who delivers justice to the entire world.

Introduction / Context:
The premise asserts global significance of the US presidential election. We must identify what logically explains this significance without adding unwarranted claims about judicial or moral authority worldwide.

Given Data / Assumptions:

• US election has implications beyond US borders.
• No assertion about “delivering justice” worldwide.

Concept / Approach:
Conclusion I is a reasonable inference: if the election matters globally, it is because US policies—foreign, economic, security—affect world affairs. Conclusion II assigns a judicial role (“delivers justice”) to the US President, which is not suggested by the statement and is normatively loaded; thus it does not follow.

Step-by-Step Solution:
1) Cause of global import → policy influence on world affairs → I follows.2) Justice-delivery claim is extraneous → II does not follow.

Verification / Alternative check:
Even if one believed the US exerts influence, that does not equate to a universal judicial mandate. The premise needs only policy reach to justify its claim.

Why Other Options Are Wrong:
“Both/Either” grant II's overreach; “Neither” ignores an obvious explanatory link for the stated global relevance.

Common Pitfalls:
Confusing geopolitical influence with judicial authority.

Final Answer:
If only conclusion I follows.