The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's degree or higher (The Wall Street Journal) random sample of 118 employees in the private sector showed that 31 have a bachelor's degree or higher. Does this indicate that the percentage of employees holding bachelor's degrees or higher in the private sector is less than in the federal civilian sector? Use a = 0.05. What are we testing in this problem? O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.36; H1: p < 0.36 O Ho: p = 0.36; Hi: p 0.36 %3D Ο H0: μ - 0.36; Η: μ> 0.36 O Ho: H = 0.36; H1: µ < 0.36 O Ho: p = 0.36; H1: p > 0.36 %3D Ο H0: μΕ 0.36; H1: μ+ 0.36 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t, since np < 5 and ng < 5. O The Student's t, since np > 5 and ng > 5. O The standard normal, since 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 (or estimate) the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005
The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's degree or higher (The Wall Street Journal) random sample of 118 employees in the private sector showed that 31 have a bachelor's degree or higher. Does this indicate that the percentage of employees holding bachelor's degrees or higher in the private sector is less than in the federal civilian sector? Use a = 0.05. What are we testing in this problem? O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.36; H1: p < 0.36 O Ho: p = 0.36; Hi: p 0.36 %3D Ο H0: μ - 0.36; Η: μ> 0.36 O Ho: H = 0.36; H1: µ < 0.36 O Ho: p = 0.36; H1: p > 0.36 %3D Ο H0: μΕ 0.36; H1: μ+ 0.36 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t, since np < 5 and ng < 5. O The Student's t, since np > 5 and ng > 5. O The standard normal, since 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 (or estimate) the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005
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
Topic Video
Question
Transcribed Image Text:The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's degree or higher (The Wall Street Journal). A
random sample of 118 employees in the private sector showed that 31 have a bachelor's degree or higher. Does this indicate that the
percentage of employees holding bachelor's degrees or higher in the private sector is less than in the federal civilian sector? Use a = 0.05.
What are we testing in this problem?
O single mean
O single proportion
(a) What is the level of significance?
State the null and alternate hypotheses.
О Но: р %3D 0.36;B Hi: р < 0.36
О Но: р 3D 0.36;B Hi: ри 0.36
Ο Hg: μ= 0.36; H1: μ> 0.36
O Ho: u = 0.36; H1: µ < 0.36
О Но: р 3D 0.36;B Hi: р> 0.36
O Ho: u = 0.36; H1: µ 0.36
(b) What sampling distribution will you use? What assumptions are you making?
O The Student's t, since np < 5 and ng < 5.
O 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.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find (or estimate) the P-value.
O P-value > 0.250
O 0.125 < P-value < 0.250
0.050 < P-value < 0.125
O 0.025 < P-value < 0.050
O 0.005 < P-value < 0.025
O P-value < 0.005
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
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