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 three hundred sentences, 10 do. Let π denote the probability that any one sentence written by the unknown author of the document begins with whereas. For testing H0 : π = 0.06 against Ha : π 6= 0.06.

(a) Find the standard error, and interpret.

(b) Find the test statistic, and interpret.

(c) Find the P−value, and interpret in context.