a) At 5% level of significance is there sufficient evidence of an improvement la

a) At 5% level of significance is there sufficient evidence of an improvement lately with respect to passing on the first try? (your conclusion must be in terms of p value as well as setting up a rejection region.please show necessary work)b)which statistical distribution should be applied in this situation and why? (explain)c)knowing that a monetary investment is required to take preparatory actions should we put much weight on the conclusion of part (a) EXPLAINd)Based on a 95% confidence level what is the best case and worst case scenario regarding the actual percentage of applicants who pass on their first try?e)carefully interpret the interval estimationf)using the results of part (d) explain carefully whether or not there is sufficient evidence of an improvement lately with respect to passing on the first try?NOTE:Please Include all assumptions and refrain from using electronic applications like megastat etc. Show workings as much as possible. cheers