2 True and False questions on hypothesis testing

1) For any hypothesis test, if the value of a parameter being tested falls outside the confidence interval for the same level of a, the correct decision is to reject the null hypothesis. Is this True or False?

2) Irrespective of whether a two-tail or one-tail test is being conducted in order to compare two population means, the larger the differences in the sample means, the more likely that the null hypothesis will be rejected. Is this True or False?