11. [-18.33 Points] DETAILS BBBASICSTATSACC 8.3.0115. [ MYNOTES l ASKYOURTEACHER H PRACTICEANOTHER 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 of61 professional actors, it was found that 43 were extroverts. (a) Let 9 represent the proportion of all actors who are extroverts. Find a point estimate for ,9. [Round your answer to four decimal places.) |:| (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 condence interval you have found. C) We are 95% condent that the true proportion of actors who are extroverts falls within this interval. D 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 outside this interval. 0 We are 5% condent that the true proportion of actors who are extroverts fails above this interval. (c) Do you think the conditions n-p :5 5 and n-q > 5 are satised in this problem? Explain why this would be an important consideraon. D Yes, the conditions are satised. This is important because it allows us to say that p is approximately binomial. D Yes, the conditions are satised. This is important because it allows us to say that p is approximately nom'lal. D No, the conditions are not satised. This is important because it allows us to say that p is approximately normal. 0 No, the conditions are not satised. This is important because it allows us to say that 333 is approximately binomial