5. (10 points) It was claimed that many commercially manufactured dice are not fair because the \"spots\" are really indentations, so that, for example, the 6-side is lighter than the l-side. Let p denote the probability of rolling a 6 with one of these dice. To test the following hypothesis: several such dice were rolled to yield a total of 9000 observations. Let X denote the number of times that \"6\" was observed in the 9000 trials. The experiment resulted in $=1560. a. (7 pts) Conduct the test of hypothesis at 0.05 level. Report the decision rule and the Pvalue for the test, and make conclusions. b. (3 pts) Now, assume a two-sided alternative and re-calculate the P-value. Is the conclusion consistent with the previous part results? Explain