The correct passive form of the given sentence is A new version of Shakespeare's 'Macbeth' has been performed by the students.

The sentence "The students have performed a new version of Shakespeare's 'Macbeth'" is in the active voice. The active voice is formed by putting the subject of the sentence before the verb and the past participle of the main verb. In this case, the subject of the sentence is "the students" and the main verb is "perform." The past participle of "perform" is "performed." So, the active form of the sentence is "The students have performed a new version of Shakespeare's 'Macbeth'."

The passive voice is formed by putting the subject of the active sentence after the verb "to be" and the past participle of the main verb. In this case, the subject of the active sentence is "a new version of Shakespeare's 'Macbeth'" and the main verb is "perform." The past participle of "perform" is "performed." So, the passive form of the sentence is A new version of Shakespeare's 'Macbeth' has been performed by the students.

The other options are incorrect because:

• Shakespeare's 'Macbeth' have been performed by the new version of the students is grammatically incorrect. The verb "to perform" is followed by a direct object, but the phrase "have been performed by the new version of the students" does not have a direct object.
• A new version of Shakespeare's 'Macbeth' have been performed by the students is also grammatically incorrect. The verb "to perform" is followed by a direct object, but the phrase "have been performed by the students" does not have a direct object.
• Shakespeare's 'Macbeth' has been performed by the new version of students is grammatically incorrect. The phrase "new version of students" is not a proper noun, so it should not be capitalized.