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 60 professional actors, it was found that 43 were extroverts.

(a)

Let p represent the proportion of all actors who are extroverts.

Find a point estimate for p. (Round your answer to four decimal places.) ______

(b)

Find a 95% confidence interval for p. (Round your answers to two decimal places.)

lower limit____

upper limit____