rythm is characterized as the occurrence of five-syllable sequences in long passages of text. This characterization may be used to assess the similarity among passages of text and some tity of authors. The following information is based on an article by D. Wishart and S. V. Leach appearing in Computer Studies of the Humanities and Verbal Behavior (Vol. 3, pp. 90-99). s were categorized as long or short. On analyzing Plato's Republic, Wishart and Leach found that about 26.1% of the five-syllable sequences are of the type in which two are short and th ppose that Greek archaeologists have found an ancient manuscript dating back to Plato's time (about 427 - 347 B.C.). A random sample of 317 five-syllable sequences from the newly ed manuscript showed that 61 are of the type two short and three long. Do the data indicate that the population proportion of this type of five syllable sequence is different (either way) of Plato's Republic? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.261; H1: p # 0.261 O Ho: P = 0,261; H1: p > 0.261 O Ho: P = 0.261; H1: p 5 and n.q > 5. The Student's t, since n.p > 5 and n.q > 5. The standard normal, since n.p