In Opposing the Establishment of a New Bank in a Community

Short Answer

In opposing the establishment of a new bank in a community an existing bank stated that the area to be served by the proposed bank contained 75 percent of its accounts.An economic consulting firm randomly sampled the households to determine the sample proportion,p,which had accounts at the existing bank.The sample size was 225.Find the probability that p is:
A)Less than 69 percent.
B)More than 78 percent.
C)Within 0.05 of the true proportion stated as 0.75.