You conduct a two-sided hypothesis test (α = 0.05): H0: µ = 25 and HA: µ ≠ 25. You collect data from a population of size N = 100 and compute a test statistic z = - 2.5.  The null hypothesis is actually false and µ = 22. Determine which of the following statements are true.  I. The two-sided p-value is 0.0124. II. You reject the null hypothesis H0. III. You fail to reject H0 and make a Type II erro

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

You conduct a two-sided hypothesis test (α = 0.05): H0: µ = 25 and HA: µ ≠ 25. You collect data from a population of size N = 100 and compute a test statistic z = - 2.5.  The null hypothesis is actually false and µ = 22. Determine which of the following statements are true. 

I. The two-sided p-value is 0.0124.

II. You reject the null hypothesis H0.

III. You fail to reject Hand make a Type II error.

Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE 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