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 59 professional actors, it was found that 37 were extroverts. (a) Let ,0 represent the proportion of all actors who are extroverts. Find a point estimate for p. {Round your answer to four decimal places.) E (b) Find a 95% condence interval for p. {Round your answers to two decimal places.) lower limit upper limit Give a brief interpretation of the meaning of the confidence interval you have found. 0 We are 5% condent that the true proportion of actors who are extroverts falls above this interval. 0 We are 95% condent that the true proportion of actors who are extroverts falls outside this interval. 0 We are 5% condent that the true proportion of actors who are extroverts falls within this interval. 0 We are 95% condent that the true proportion of actors who are extroverts falls within this interval. (c) Do you think the conditions n-p ; 5 and n-q ; 5 are satised in this problem? Explain why this would be an important consideration. 0 No, the conditions are not satised. This is important because it allows us to say that :3 is approximately binomial. 0 Yes, the conditions are satised. This is important because it allows us to say that :3 is approximately binomial. O No, the conditions are not satised. This is important because it allows us to say that p is approximately normal. 0 Yes, the conditions are satised. This is important because it allows us to say that .6 is approximately normal