4) 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 Ho: μµ = -24 and use a = .01, will you reject Ho? Why or why not? (b) Now you calculate a 95% CI for μ and come up with (-5, 3). If you test Ho: µ = 4 and use a = .10, will you reject Ho? Why or why not? (c) You calculate a 95% CI for for μ and come up with (-24, 2). If you test Ho: μ=-23 and use a = .01, will you reject Ho? Why or why not? (d) Repeat (b), but now use α = .01 for your hypothesis test (you test Ho: μ=4 and use a = .01).

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