I want to​ estimate, with 99 style=”color:rgb(0,0,0);background-color:transparent;”>​% ​confidence, the population proportion of adults who are confident with their​ banking system. I need to estimate to be within 5​% of the population proportion.​(a) There is not a preliminary estimate available. Find the minimum sample size needed.​(b) Find the minimum sample size​ needed, using a prior study that found that 34​% of the respondents said they are confident with their​ country’s banking system.​(c) Compare the results from parts ​(a) and ​(b). ​(a) What is the minimum sample size needed assuming that no prior information is​ available?