Q. Edith performs a test of the null H0 : = 12 against the alternative HA : < 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 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