
MATLAB: An Introduction with Applications
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Author: Amos Gilat
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(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
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(e) Interp your conclusion in the context of the application.
O There is sufficient evidence at the 0.01 level to conclude that the true proportion of the five-syllable sequence is higher than that in Plato's Symposium.
O There is insufficient evidence at the 0.01 level to conclude that the true proportion of the five-syllable sequence is higher than that in Plato's Symposium.
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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 482 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.
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
O Ho: P < 0.214; H₁: p = 0.214
O Ho: P = 0.214; H₁: p < 0.214
Ho: p > 0.214; H₁: p = 0.214
(b) What sampling distribution will you use?
O The Student's t, since np > 5 and nq > 5.
O The Student's t, since np < 5 and nq < 5.
O The standard normal, since np > 5 and nq > 5.
O The standard normal, 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.
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