5) Let's examine the relationship between CI's and hypothesis tests: (a) You calculate a 90% confidence interval for μ and come up with (-26, -10). If you test H0: μ = -27 and use α = .10, will you reject H0? Why or why not? (b) Now you calculate a 95% CI for μ and come up with (-7, -3). If you test H0: μ = -8 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 (-34, -28). If you test H0: μ = - 27 and use α = .01, will you reject H0? Why or why not? Hint: you need to think about how confidence levels and hypothesis tests are equivalent. In particular, what happens to a CI as you change the confidence level?
5) Let's examine the relationship between CI's and hypothesis tests: (a) You calculate a 90% confidence interval for μ and come up with (-26, -10). If you test H0: μ = -27 and use α = .10, will you reject H0? Why or why not? (b) Now you calculate a 95% CI for μ and come up with (-7, -3). If you test H0: μ = -8 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 (-34, -28). If you test H0: μ = - 27 and use α = .01, will you reject H0? Why or why not? Hint: you need to think about how confidence levels and hypothesis tests are equivalent. In particular, what happens to a CI as you change the confidence level?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5) Let's examine the relationship between CI's and hypothesis tests:
(a) You calculate a 90% confidence interval for μ and come up with (-26, -10). If you test H0: μ = -27
and use α = .10, will you reject H0? Why or why not?
(b) Now you calculate a 95% CI for μ and come up with (-7, -3). If you test H0: μ = -8 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 (-34, -28). If you test H0: μ = - 27 and use
α = .01, will you reject H0? Why or why not?
Hint: you need to think about how confidence levels and hypothesis tests are equivalent. In
particular, what happens to a CI as you change the confidence level?
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