2. (6 marks) Determine if each of the following statements is true or false, and explain why. a) A 95% confidence interval is always narrower than a 99% confidence interval (provided the intervals are constructed using the exact same data). (2 mark) b) If a two-sided test finds sufficient evidence that up , using the 5% significance level, then the corresponding 95% confidence interval will contain p . (2 mark) c) 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)