9. [-/0.3 Points] DETAILS BBUNDERSTAT12 8.3.016.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leacht found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 494 five-syllable sequences from this manuscript showed that 129 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use a = 0.01. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.214; H1: p # 0.214 O Ho: P = 0.214; H1: p 0.214; H, : p = 0.214 O Ho: P = 0.214; H1: p > 0.214 (b) What sampling distribution will you use? The standard normal, since np 5 and nq > 5. The standard normal, since np > 5 and nq > 5. The Student's t, since np