Explain why each of the following statements is false.

If a two-sided test finds sufficient evidence that ≠0, using the 5% significance level, then the corresponding 95% confidence interval will contain 0

For any positive value z, it is always true that P(>z)>P(T>z), where ∼(0,1), and T∼T, for some finite df value.

If you have just constructed a 90% confidence interval, then there is a 90% chance that the interval contains the true value of the parameter of interest.