Problem 1. (10 points) Indicate whether the statement is True/ False: (a) The p-value is the likelihood ratio or the odds ratio of the null hypothesis and the alternative hypothesis. (b) The pvalue is the probability of observing the test statistics given the null hypothesis is true. (c) The type-I error is the probability of falsely rejecting the null hypothesis if the null hypothesis is true. (d) To test simple hypothese, likelihood ratio test is the most powerful test. (e) The paired-t test requires the sample sizes to be same for two populations and independence between two populations