TH205 - Chapter 7 Te x 8 Find a Dentist X a SOLUTION: Allen G webassign.net/web/Student/Assignment-Responses/submit?dep=22146485&tags=autosave Apps YouTube Maps 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 professional actors, it was found that 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 0.5714 (b) Find a 95% confidence interval for p. (Round your answers to two decimal places.) lower limit 14.82048 X upper limit 15.96328 Give a brief interpretation of the meaning of the confidence interval you have found. We are 95% confident that the true proportion of actors who are extroverts falls outside this interval. 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. (c) Do you think the conditions op > 5 and nq > 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 binomial. Yes, the conditions are 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 normal. No, the conditions are not satisfied. This is important because it allows us to say that p is approximately normal. Comm Apprel 10