Imagine the two researchers independently carry out clinical trials to test the same null hypothesis, that COX-2 selective inhibitors (which are used to treat arthritis ) have no affect on the risk of cardiac arrest. They use the same population for their study, but one experimenter uses a sample size of 60 subjects, whereas the other uses a sample size of 100. Assume that all other aspects of the studies, including significance levels, are the same between the two studies.

a) Which study has the higher probability of a Type II error, the 60-subject study or the 100 -subject study?
b) Which study has higher power?
c) Which study has the higher probability of Type I error?
d) Should the tests be one-tailed or two-tailed? Explain?