Omar collects data from two populations Sahar uses those data to construct a (two sided) 90 confidence interval for 1 2 and gets ( 12 5, 3 7) At the same time, Miguel uses the data to test H0 1 2 versus HA 1 2 with 0 05 Can we tell from the information if Miguel rejects H0 Explain your reasoning ...

A The 90 confidence interval excludes zero so a test of H 0 1 2 agains ...

Omar collects data from two populations. Sahar uses those data to construct a (two-sided) 90% confidence interval

Question:

Omar collects data from two populations. Sahar uses those data to construct a (two-sided) 90% confidence interval for µ1 - µ2 and gets (- 12.5, - 3.7). At the same time, Miguel uses the data to test H0: µ1 = µ2 versus HA: µ1 < µ2 with α = 0.05. Can we tell from the information if Miguel rejects H0? Explain your reasoning.