5) Let's examine the relationship between CI's and hypothesis tests: (a) You calculate a 90% confidence interval for and come up with (-10, 26). If you test H0: = 12 and use = .10, will you reject H0? Why or why not? (b) Now you calculate a 95% CI for and come up with (3, 7). If you test H0: = 8 and use = .10, will you reject H0? Why or why not? (c) Finally, you calculate a 95% CI for for and come up with (-34, -28). If you test H0: = - 26 and use = .01, will you reject H0? Why or why not? Hint: you need to think about how confidence levels and hypothesis tests are equivalent. In particular, what happens to a CI as you change the confidence level?