7. [-19.1 Points] DETAILS 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 67" professional actors, it was found that 35 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.) E (b) Find a 95% condence interval for p. [Round your answers to two decimal places.) lower limit upper limit lGive a brief interpretation of the meaning of the condence interval you have found. C We are 5% condent that the true proportion of actors who are extroverts falls above this interval. D We are 95% condent that the true proportion of actors who are extroverts falls outside this interval. 0 We are 95% condent that the true proportion of actors who are extroverts falls within this interval. O We are 5% condent that the true proportion of actors who are extroverts falls within this interval. (c) Do you mink the conditions 11-}: 3 5 and n-q b 5 are satisfied in this problem? Explain why this would be an important consideration. 0 Yes, the conditions are satised. This is important because it allows us to say that g) is approximately nonnal. D Yes, the conditions are satised. This is important because it allows us to say that is approximately binomial. O No, the conditions are not 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 :3 is approximately normal