X A Quiz 3 Week 6 (ADA) - MATH120 x \\ Homework Week 6 (ADA)- MATI X + O C A webassign.net/web/Student/Assignment-Responses/submit?dep=27076107&tags=autosave#question4261209_5 6. [-/9.1 Points] DETAILS BBBASICSTATSACC 8.3.011.S. MY NOTES ASK YOUR TEA 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 64 professional actors, it was found that 38 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 Give a brief interpretation of the meaning of the confidence interval you have found. O We are 5% confident that the true proportion of actors who are extroverts falls within this Interval. We are 5% confident that the true proportion of actors who are extroverts falls above this interval. We are 95% confident that the true proportion of actors who are extroverts falls within this interval. We are 95% confident that the true proportion of actors who are extroverts falls outside this interval. (c) Do you think the conditions nip > 5 and n*q > 5 are satisfied in this problem? Explain why this would be an Important consideration. O No, the conditions are not satisfied. This is important because it allows us to say that p is approximately normal. O No, the conditions are not satisfied. This is important because it allows us to say that p is approximately binomial. Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately binomial. O Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately normal