Suppose you have computed the following 95% confidence interval for a population mean y from a set of data: (8.56, 11.44). You want to conduct the following hypothesis test using the same data at significance level a = 0.05. HO: H= 12 vs. H 1: µ#12 What conclusion can you draw? O A. As the interval does not contain 12, we reject the null hypothesis. O B. As the interval does not contain 12, we fail to reject the null hypothesis. O C. No conclusion can be drawn since there is no relationship between a confidence interval and a hypothesis test.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 8CR
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QUESTION 8
Suppose you have computed the following 95% confidence interval for a population mean u from a set of data: (8.56, 11.44). You want to conduct the following hypothesis test using the same data at
significance level a = 0.05.
Ho: H= 12 vs. H 1: p # 12
What conclusion can you draw?
O A. As the interval does not contain 12, we reject the null hypothesis.
O B. As the interval does not contain 12, we fail to reject the null hypothesis.
O C. No conclusion can be drawn since there is no relationship between a confidence interval and a
hypothesis test.
O D. Not enough information to choose between the two hypotheses.
Transcribed Image Text:QUESTION 8 Suppose you have computed the following 95% confidence interval for a population mean u from a set of data: (8.56, 11.44). You want to conduct the following hypothesis test using the same data at significance level a = 0.05. Ho: H= 12 vs. H 1: p # 12 What conclusion can you draw? O A. As the interval does not contain 12, we reject the null hypothesis. O B. As the interval does not contain 12, we fail to reject the null hypothesis. O C. No conclusion can be drawn since there is no relationship between a confidence interval and a hypothesis test. O D. Not enough information to choose between the two hypotheses.
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