Prose rhythm is characterized as the occurrence of 5 syllable sequences in long passes of text text the characterizations may be used to assess the similarities among passages of text and sometimes the identity of authors. The following information is based on article by D wishheart and SV leech appearing in computer studies of the humanities and verbal behavior syllable syllables were categorized as long or short on analyzing Plato's Republic which heart and Leach found about 2 6.1% of the 5 syllable sequences are the type in which 2 are short and 3 are long

Suppose that Greek archeologists have found an ancient manuscript dating back to Plato's time, A random sample of 317 five- syllable sequences from the newly discovered manuscript show that 61 are the type 2 short and 3 long

do the data indicate that the population proportion of this type of 5 syllable sequence is different either way from the text of Plato's Republic use a = 0.01

A) What is Is the level of significance

B) What Is simpling distribution will you use, What is Is the value of the sample test statistic

C) Find The P value of the test statistic

D) Based on your Answers in part AB &c will you reject our fail to reject the knoll hypothesis

E) Interperet your conclusion in the context of the application