Symposium is part of a larger work referred to as Plato\'s Dialogues. Wishart an

Question

Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach 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 480 five-syllable sequences from this manuscript showed that 127 were c 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 alpha = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. H_0: p 0.214 What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal, since np

Explanation / Answer

here std error =(p(1-p)/n)1/2 =0.0187

also phat =127/480=0.265

hence test stat =(phat-p)/std error =2.54

c) p value =0.0055

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