The authorship of an old document is in doubt.

A historian hypothesizes that the author was a journalist named Jacalyn Levine. Upon a thorough investigation of Levine’s known works, it is observed that one unusual feature of her writing was that she consistently began 6% of her sentences with the word whereas. To test the historian’s hypothesis, it is decided to count the number of sentences in the disputed document that begin with whereas. Out of the 300 sentences, none do.

Let π denote the probability that any one sentence written by the unknown author of the document begins with whereas. Test H0: π = 0.06 against Ha:

π = 0.06.

What assumptions are needed for your conclusion to be valid? (F. Mosteller and D. L. Wallace conducted this type of investigation to determine whether Alexander Hamilton or James Madison authored 12 of the Federalist Papers. See Inference and Disputed Authorship:

The Federalist, Addison-Wesley, 1964.)