Answer:
Neither of the statements are true.
i. A large p-value indicates weak evidence against the null hypothesis. A small p-value (typically less than 0.05) is strong evidence against the null hypothesis.
ii. We cannot set a higher standard of proof by choosing a lower significance level (alpha) because doing so would increase the likelihood of making a Type II error, which is failing to reject a false null hypothesis. The level of significance should be chosen based on the goals of the study and the consequences of making a Type I or Type II error.