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ose an antiquities store in Athens has a very old ma e of the type four short and one long. Do the data ir In USE SALT is the level of significance?

ose an antiquities store in Athens has a very old ma e of the type four short and one long. Do the data ir In USE SALT is the level of significance?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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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 484 five-syllable sequences from this manuscript showed that 127 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. n USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.214; H: p > 0.214 O Ho: p > 0.214; H: p = 0.214 O Ho: P = 0.214; H: p + 0.214 O Ho: p< 0.214; H,: p = 0.214 O Ho: P = 0.214; H,: p < 0.214 (b) What sampling distribution will you use? O The Student's t, since np < 5 and nq < 5. The standard normal, since np > 5 and ng > 5. The standard normal, since np < 5 and ng < 5. The Student's t, since np > 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. MacBook Pro esc %23 $4 8. 9. 3 4
Transcribed Image Text: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 484 five-syllable sequences from this manuscript showed that 127 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. n USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.214; H: p > 0.214 O Ho: p > 0.214; H: p = 0.214 O Ho: P = 0.214; H: p + 0.214 O Ho: p< 0.214; H,: p = 0.214 O Ho: P = 0.214; H,: p < 0.214 (b) What sampling distribution will you use? O The Student's t, since np < 5 and nq < 5. The standard normal, since np > 5 and ng > 5. The standard normal, since np < 5 and ng < 5. The Student's t, since np > 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. MacBook Pro esc %23 $4 8. 9. 3 4
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