1. A pair of dice is tossed 100 times and it is observed that 7’s appear 23 times. Test the hypothesis that the dice are fair (i.e., not loaded) at the 0.05 significance level by using (a) a...

1. A pair of dice is tossed 100 times and it is observed that 7’s appear 23 times. Test the hypothesis that the dice are fair (i.e., not loaded) at the 0.05 significance level by using (a) a two-tailed test and (b) a one-tailed test. Discuss your reasons, if any, for preferring one of these tests over the other.