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Symposium is part of a larger work referred to as 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 485 five-syllable sequences ato's Dialogues. Wishart and Leacht found that about 21. of five-syllable sequences in Symposium are of the type in which four are 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 tha found in Plato's Symposium? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O H:p< 0.214; H,: p = 0.214 O Ho: p = 0.214; H,: p > 0.214 O H:p- 0.214; H,: p- 0.214 O Hoi p > 0.214; H,: P = 0.214 O Ho: P = 0.214; H,:p < 0.214 (b) What sampling distribution will you use? The Student's t, since np > 5 and ng > 5. The standard normal, since np < 5 and ng < 5. O The standard normal, since np > 5 and ng > 5. O The Student's t, 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 answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. o-4 0-4 (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.

Symposium is part of a larger work referred to as 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 485 five-syllable sequences ato's Dialogues. Wishart and Leacht found that about 21. of five-syllable sequences in Symposium are of the type in which four are 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 tha found in Plato's Symposium? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O H:p< 0.214; H,: p = 0.214 O Ho: p = 0.214; H,: p > 0.214 O H:p- 0.214; H,: p- 0.214 O Hoi p > 0.214; H,: P = 0.214 O Ho: P = 0.214; H,:p < 0.214 (b) What sampling distribution will you use? The Student's t, since np > 5 and ng > 5. The standard normal, since np < 5 and ng < 5. O The standard normal, since np > 5 and ng > 5. O The Student's t, 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 answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. o-4 0-4 (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.

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
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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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 485 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. (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,iP = O Ho: P = 0.214; H,:p < 0.214 - 0.214 (b) What sampling distribution will you use? O The Student's t, since np > 5 and ng > 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 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 answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. -2 2. -2 2 (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. 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.
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 485 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. (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,iP = O Ho: P = 0.214; H,:p < 0.214 - 0.214 (b) What sampling distribution will you use? O The Student's t, since np > 5 and ng > 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 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 answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. -2 2. -2 2 (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. 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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