8. [-14.42 Points] DETAILS BBUNDERSTAT12 7.3.012.MI.S. 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 518 judges, it was found that 279 were introverts. USE SALT (a) Let p represent the proportion of all judges who are introverts. Find a point estimate for p. (Round your answer to four decimal places.) E (b) Find a 99% condence interval for p. (Round your answers to two decimal places.) Give a brief interpretation of the meaning of the condence interval you have found. lower limit upper limit 0 We are 1% condent that the true proportion ofjudges who are introverls falls within this interval. 0 We are 99% condent that the true proportion of judges who are introverls falls outside this interval. 0 We are 99% condent that the true proportion of judges who are introverts falls within this interval. 0 We are 1% condent that the true proportion of judges who are introverls falls above this interval. (c) Do you think the conditions up > 5 and no > 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 j} is approximately normal. 0 No, the conditions are not satisfied. This is important because it allows us to say that p is approximately normal. 0 No, the conditions are not satisfied. This is important because it allows us to say that p is approximately binomial. 0 Yes, the conditions are satised. This is important because it allows us to say that 13 is approximately binomial