C webassign.net/web/Student/Assignment-Responses/submit?dep=27772703&tags=autosave#Q11 11. [5.01/8.33 Points] DETAILS PREVIOUS ANSWERS BBBASICSTAT8ACC 8.3.011.S. MY NOTES ASK YOUR TEAC 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 68 professional actors, it was found that 37 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.) 0.5441 (b) Find a 95% confidence interval for p. (Round your answers to two decimal places.) lower limit 0 38 X upper limit 0.61 X Give a brief interpretation of the meaning of the confidence interval you have found. 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 outside this interval. We are 95% confident that the true proportion of actors who amextroverts falls within this interval. We are 5% confident that the true proportion of actors who are extroverts falls within this interval. (c) Do you think the conditions n.p > 5 and n-q > 5 are satisfied in this problem? Explain why this would be an important consideration