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 = -7 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 (-5, -1). If you test H0: μ = 0 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

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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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 = -7 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 (-5, -1). If you test H0: μ = 0 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?

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