Question

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 (-10, 26). 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 (3, 7). If you test H0: μ = 9 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?

6) (a) Suppose you test a new medication and reject the null hypothesis (you conclude it works). What kind of error could you have made? (b) Again, you test a new medication and you fail to reject the null hypothesis (you conclude it does not work). What kind of error could you have made?

Answer 1