We have created a 95% confidence interval for with the result (10, 15). a) What
ID: 3156142 • Letter: W
Question
We have created a 95% confidence interval for with the result (10, 15).
a) What decision will we make if we test H0 : = 16 versus H1 : 16 at = 0.05? Justify your answer.
A) Reject H0 in favor of H1.
B) Accept H0 in favor of H1.
C) Fail to reject H0 in favor of H1.
D) We cannot tell what our decision will be from the information given.
b) What decision will we make if we test H0 : = 16 versus H1 : 16 at = 0.10? Justify your answer.
A) Reject H0 in favor of H1.
B) Accept H0 in favor of H1.
C) Fail to reject H0 in favor of H1.
D) We cannot tell what our decision will be from the information given.
c) What decision will we make if we test H0 : = 16 versus H1 : 16 at = 0.025?
A) Reject H0 in favor of H1.
B) Accept H0 in favor of H1.
C) Fail to reject H0 in favor of H1.
D) We cannot tell what our decision will be from the information given.
Explanation / Answer
We have created a 95% confidence interval for with the result (10, 15).
a) What decision will we make if we test H0 : = 16 versus H1 : 16 at = 0.05? Justify your answer.
A) Reject H0 in favor of H1. [ANSWER]
This is because 16 is not inside the interval.
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b) What decision will we make if we test H0 : = 16 versus H1 : 16 at = 0.10? Justify your answer.
A) Reject H0 in favor of H1. [ANSWER]
If we reject Ho at 0.05, then the more we reject at a higher alpha, like 0.10.
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c) What decision will we make if we test H0 : = 16 versus H1 : 16 at = 0.025?
D) We cannot tell what our decision will be from the information given. [ANSWER]
We do not know if the P value of the test will be low enough. If 0.025 < P < 0.05, we do not reject, but if P < 0.025, we reject. So we cannot tell.
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