An appropriate 95% confidence interval for µ has been calculated as (-0.73, 1.92) based on n = 15 observations from a population with a Normal distribution. If we wish to use this confidence interval to test the hypothesis Ho: H = 0 against Ha: # 0, which of the following is a legitimate conclusion? (a) Reject Ho at the a = 0.05 level of significance (b) Fail to reject Ho at the a = 0.05 level of significance (c) Reject Ho at the a = 0.10 level of significance (d) Fail to reject Ho at the a = 0.10 level of significance (e) We cannot perform the required test since we do

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Please look at the following picture. I know that the answer is B, however, I need to justify my answer. I need help justifying my answer with 1-3 sentences. 

An appropriate 95% confidence interval for µ has
been calculated as (-0.73, 1.92) based on n = 15
observations from a population with a Normal
distribution. If we wish to use this confidence
interval to test the hypothesis Ho: µ = 0 against Ha: µ
# 0, which of the following is a legitimate
conclusion?
(a) Reject Ho at the a = 0.05 level of significance
(b) Fail to reject Ho at the a = 0.05 level of
significance
(c) Reject Ho at the a = 0.10 level of significance
(d) Fail to reject Ho at the a = 0.10 level of
significance
(e) We cannot perform the required test since we do
not know the value of the test statistic
Transcribed Image Text:An appropriate 95% confidence interval for µ has been calculated as (-0.73, 1.92) based on n = 15 observations from a population with a Normal distribution. If we wish to use this confidence interval to test the hypothesis Ho: µ = 0 against Ha: µ # 0, which of the following is a legitimate conclusion? (a) Reject Ho at the a = 0.05 level of significance (b) Fail to reject Ho at the a = 0.05 level of significance (c) Reject Ho at the a = 0.10 level of significance (d) Fail to reject Ho at the a = 0.10 level of significance (e) We cannot perform the required test since we do not know the value of the test statistic
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