Suppose an observational study that compares two groups (group 1 and group 2) has sample means 1 = 115 and 2 = 108. Further suppose that we reject H0 in favor of HA when doing a hypothesis test. Which of the following statements are true?
(i) We have evidence that the difference in sample means is unlikely to arise by chance.
(ii) The difference between the two sample means is important.
(iii) The data show that being in group 1 causes the mean to go up.