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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman