Question

5) Let's examine the relationship between CI's and hypothesis tests: (a) You calculate a 90% confidence interval for p and come up with (-10, 26). If you test Hay=-12 and use a = .10, will you reject H.? Why or why not? (b) Now you calculate a 95% CI for and come up with (-3,7). If you test Hiu= 8 and use a = .10, will you reject H.? Why or why not? (c) Finally, you calculate a 95% CI for for and come up with (-34, -28). If you test Ho: = - 26 and use a=.01, will you reject Ho? 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?

Answer 1

a.)

Confidence interval=(-10, 26),

Ho :μ =-12

Here, mean is outside the confidence interval, hence Reject the Null hypothesis.

b.)

Confidence interval=(-3, 7)

Ho: μ = 8

, Here, mean is outside the confidence interval, hence Reject the Null hypothesis.

c.)

Confidence interval=(-34, -28)

Ho :μ =-26

Here, mean is within the confidence interval, hence Fail to Reject the Null hypothesis.