For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. In a random sample of 508 judges, it was found that 278 were introverts....

(a) Let
p
represent the proportion of all judges who are introverts. Find a point estimate for
p. (Round your answer to four decimal places.)




(b) Find a 99% confidence interval for
p. (Round your answers to two decimal places.)

lower limit
upper limit