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 and come up with (-10, -26). If you test H0: = -27 and use = .01, will you reject H0? Why or why not?

(b) Now you calculate a 95% CI for and come up with (-5, 3). If you test H0: = -7 and use = .10, will you reject H0? Why or why not?

(c) Finally, you calculate a 95% CI for and come up with (-24, 2). If you test H0: = - 14 and use = .01, will you reject H0? Why or why not?