Bank acquisitions. Refer to given Exercise.
(a) Find SEP^, the standard error of P^.
(b) Give the 95% confidence interval for p in the form of estimate plus or minus the margin of error.
(c) Give the confidence interval as an interval of percents.
Exercise
Bank acquisitions. The American Bankers Association Community Bank Competitiveness Survey had responses from 760 community banks. Of these, 283 reported that they expected to acquire another bank within five years.
(a) What is the sample size n for this survey?
(b) What is the count X of community banks that expect to acquire another bank?
(c) Find the sample proportion P^.