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 LUSE SALT (a) What is the level of significance? State the null and alternate hypotheses. 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 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. C

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
0-4
0-4
-2
Need Help?
Submit Answer
0
0
Read It
2
2
Master It
40-4
Q
-2
0
(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.
2
(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.
20-4
View Previous Question Question 8 of 9
-2
View Next Question
0
Transcribed Image Text:0-4 0-4 -2 Need Help? Submit Answer 0 0 Read It 2 2 Master It 40-4 Q -2 0 (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. 2 (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. 20-4 View Previous Question Question 8 of 9 -2 View Next Question 0
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.
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.
Expert Solution
steps

Step by step

Solved in 6 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman