Problem: Find the p-value if left-sided test, t-distribution, n = 45, Test Statistic = -2.5
Problem: Find the p-value if left-sided test, t-distribution, n = 45, Test Statistic = -2.5
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
Question
Transcribed Image Text:In a two-sided test: (H₁: μ ‡ claimed value or Ho:p ‡ claimed value)
If the statement of the problem does not indicate which alternate hypothesis to use then run a two-sided test.
2. Identify the significance level (c). If the problem does not give one then take a = 0.5
3. Find the critical value.
You need to determine if you are using a Z dsitribution (proportions or mean where is known) or the t-distribution (mean where you approximate with s).
For a left sided test: CV = invNorm(a) or invT(α, n-1) where n is the sample size (n-1 = degrees of freedom).
For a right sided test: CV = invNorm(1-x) or invT(1-a, n-1) where n is the sample size (n-1 = degrees of freedom).
For a two-sided test: CV's (there are TWO) = + invnorm() or invT(n-1)where n is the sample size (n-1 = degrees of freedom).
4. Find the test statistic
For means: Z = or t = where is the assumed parameter in the null hypothesis.
Vi
For proportions: Z=-, where p is the assumed parameter in the null hypothesis.
DI
V
5. Find the p-value
For left-sided test: normalcdf(-10000000000000, Z, 1, 0) or tcdf(-1000000000000, t, n-1)
For right-sided test: normalcdf(Z,100000000000000, 1, 0) or tcdf(t,1000000000000000, n-1)
For two-sided test: = 2*normalcdf(-100000000000000, -Z, 1, 0) or 2*tcdf(-100000000000000, -t, n-1) where -Z (or -t) is the negative version of the test
statistic (regardless if the test statistic is negative or positive).
NOTE: The tests 1-PropZTest, TTest, and ZTest will calculate both the test statistic and p-value for you.
6. Make a conclusion: If p-value <a or if the test statistic is further from the mean then the critical value (so the test statistic is in the rejection region) then
reject the null hypothesis. Otherwise, fail to reject the null hypothesis.
Problem:
Find the p-value if left-sided test, t-distribution, n = 45, Test Statistic = -2.5
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 5 steps
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