If i'm not wrong it's objective information
I will go
An independent clause is a clause that can be by itself to form it's own sentence. "When running" and "If you are going" are dependent clause. A dependent clause is when a clause cannot form it's own sentence. Therefore, "I will go" is the correct answer.
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If we say simple predicate, this only refers to the main verb that is used in the sentence. So based on the given sentence above, the simple predicate is the word "arrived" and this is the main verb which describes the subject which is "nurse". Hope this answers your question.