Edith performs a test of the null H0 : μ = 12 against the alternative HA : μ < 12 based on a random sample. She computes the appropriate t-statistic. The p-value corresponding to her t-statistic is 0.023. After that, I construct 95% and 99% confidence intervals for the population mean μ using Edith’s data. Then, which of the following is true?  (a) Both the 95% and 99% CI’s contain 12 (b) The 95% CI contains 12, but the 99% CI does not  (c) The 99% CI contains 12, but the 95% CI does not  (d) Both the 95% and 99% CI’s do not contain 12 (e) Not enough information to answer

MATLAB: An Introduction with Applications
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Q. Edith performs a test of the null H0 : μ = 12 against the alternative HA : μ < 12 based on a random sample. She computes the appropriate t-statistic. The p-value corresponding to her t-statistic is 0.023. After that, I construct 95% and 99% confidence intervals for the population mean μ using Edith’s data. Then, which of the following is true? 


(a) Both the 95% and 99% CI’s contain 12
(b) The 95% CI contains 12, but the 99% CI does not 

(c) The 99% CI contains 12, but the 95% CI does not 

(d) Both the 95% and 99% CI’s do not contain 12
(e) Not enough information to answer 

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