Please help me with this problem~ I would greatly appreciate an explanation for each answer as it would help me understand the question a bit more.

Explain why each of the following statements is false. a) A 95% confidence interval is always wider than a 99% confidence interval (provided the intervals are constructed using the exact same data). (1 mark) b) If a two-sided test finds sufficient evidence that u # Ho, using the 5% significance level, then the corresponding 95% confidence interval will contain Ho. (1 mark) c) For any positive value z, it is always true that P(Z > z) > P(T > z), where Z ~ N(0,1), and T ~ Tar, for some finite df value. (1 mark) d) 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. (2 marks)