5a) State Ho and Ha b) Find the critical value, show work c) Find the appropriate test statistic, show correct substitution of values in formulas. d) Do a P - value test e) Make a decision to reject or fail to reject the null hypothesis and interpret the results. As of June 15, a health research group notices that Vermont has the highest vaccination rate for Covid 19 according to the CDC. The research group randomly sample 400 adults from Vermont and find 252 adults have been fully vaccinated. The group also notices that Louisiana has the lowest rate and they randomly sample 375 adults and find 125 have been fully vaccinated. Is there a significant difference in the vaccination rate of these 2 states? Test at a = .01. *Round p to 3 decimal places. Pop 1 = Vermont Pop 2 = Louisiana