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Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and I eacht 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-syllahle sequence is higher than that found in Plato's Symposium? Use a 0.01. A 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 H: 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 OHo: p > 0.214; H p = 0.214 (b) What sampling distribution will you use? O The standard normal, since np > 5 and ng > 5. O The Student's t, since np > 5 and ng > 5. O The Student's t, sincc np < 5 and ng < 5. O The standard normal, since np < 5 and ng < 5 What is the value of the sample test statistic? (Round your answer to two decimal placcs.) (c) Find the P-value of the test statistic. (Round your atiswer to four decimal places.) Sketch the sampling distribution and show the area coresponding to the P-value.

Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and I eacht 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-syllahle sequence is higher than that found in Plato's Symposium? Use a 0.01. A 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 H: 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 OHo: p > 0.214; H p = 0.214 (b) What sampling distribution will you use? O The standard normal, since np > 5 and ng > 5. O The Student's t, since np > 5 and ng > 5. O The Student's t, sincc np < 5 and ng < 5. O The standard normal, since np < 5 and ng < 5 What is the value of the sample test statistic? (Round your answer to two decimal placcs.) (c) Find the P-value of the test statistic. (Round your atiswer to four decimal places.) Sketch the sampling distribution and show the area coresponding to the P-value.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.7: Probability And Odds
Problem 12E
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.webassigh.hevweb/studentAssighment-Responses/last?dep=26829208 由 ube e Mastering Biology . -2 0. -2 D0-4 Q0-4 O-4 -2 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Arc the data statistically significant at level a? O At the a 0.01 level, we reject the null hypethesis and conclude the data arc 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 arc statistically signlflcant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the dala are not statistically significant. (e) Interpret your conclusion in the context of the application. O There is sufflcient evidence at the 0.01 level to conclude that the true proportian 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 thal the truc proportion of the five-syllable sequence is higher than that in Plalo's Syrmposium. 75°F Mostly sunny 10.58 AM O Type here to search 7/30/2021
Transcribed Image Text:.webassigh.hevweb/studentAssighment-Responses/last?dep=26829208 由 ube e Mastering Biology . -2 0. -2 D0-4 Q0-4 O-4 -2 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Arc the data statistically significant at level a? O At the a 0.01 level, we reject the null hypethesis and conclude the data arc 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 arc statistically signlflcant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the dala are not statistically significant. (e) Interpret your conclusion in the context of the application. O There is sufflcient evidence at the 0.01 level to conclude that the true proportian 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 thal the truc proportion of the five-syllable sequence is higher than that in Plalo's Syrmposium. 75°F Mostly sunny 10.58 AM O Type here to search 7/30/2021
Tube O Mastering Biology I.. Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leacht found that about 21.4% of flve-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-syllahle sequence is higher than that found in Plato's Symposium? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: D = 0.214; H,: p < 0.214 O H: p = 0.214; H: p > 0.214 O H: 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 standard normal, since np > 5 and ng > 5. O The Student's t, since np > 5 and ng> 5. O The Student's t, sincc np < 5 and ng < 5. O The standard normal, since np < 5 and ng < 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 ariswer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. 1058 AM P Type here to search O 75°r Mostly sunny 7/30/2021
Transcribed Image Text:Tube O Mastering Biology I.. Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leacht found that about 21.4% of flve-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-syllahle sequence is higher than that found in Plato's Symposium? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: D = 0.214; H,: p < 0.214 O H: p = 0.214; H: p > 0.214 O H: 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 standard normal, since np > 5 and ng > 5. O The Student's t, since np > 5 and ng> 5. O The Student's t, sincc np < 5 and ng < 5. O The standard normal, since np < 5 and ng < 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 ariswer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. 1058 AM P Type here to search O 75°r Mostly sunny 7/30/2021
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