(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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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?

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