6. [3,643.1 Points] DETAILS PREVIOUS ANSWERS BBBASICSTATSACC 8.3.0115. MY NOTES ASK YOUR TEACHER 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 65 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.) -.,. (b) Find a 95% condence interval for p. (Round your answers to two decimal places.) lower limit m 3' upper limit x Give a brief interpretation of the meaning of the condence interval you have found. C) We are 5% confident that the true proportion of actors who are extroverts falls within this interval. 0 We are 95% confident that the true proportion of actors who are extroverts falls outside this interval. 0 We are 5% confident that the true proportion of actors who are extroverts falls above this interval. 0 We are 95% confident that the true proportion of actors who are extroverts falls within this interval. I (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 rnneidnrai'inn