) Let's examine the relationship between CI's and hypothesis tests: Hint: you need to think about how/when confidence levels and hypothesis tests are equivalent. In particular, what happens to a CI as you change the confidence level? (a) You calculate a 99% confidence interval for μ and come up with (10,26). If you test H0: μ = 7 and use α = .01, will you reject H0? Why or why not? (b) Now you calculate a 95% CI for μ and come up with (-5, -1). If you test H0: μ = 3 and use α = .10, will you reject H0? Why or why not? (c) Finally, you calculate a 95% CI for for μ and come up with (-24,-8). If you test H0: μ = - 13 and use α = .01, will you reject H0? Why or why not?

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

5)

Let's examine the relationship between CI's and hypothesis tests:
Hint: you need to think about how/when confidence levels and hypothesis tests are equivalent. In
particular, what happens to a CI as you change the confidence level?
(a) You calculate a 99% confidence interval for μ and come up with (10,26). If you test H0: μ = 7 and
use α = .01, will you reject H0? Why or why not?


(b) Now you calculate a 95% CI for μ and come up with (-5, -1). If you test H0: μ = 3 and use α = .10,
will you reject H0? Why or why not?


(c) Finally, you calculate a 95% CI for for μ and come up with (-24,-8). If you test H0: μ = - 13 and use α = .01, will you reject H0? Why or why not?



Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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