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8. [14.42 Points] DETAILS BBUNDERSTAT12 7.3.012.M|.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 538 judges, it was found that 285 were introverts. Lil use SALT (a) Let p represent the pro portion of all judges who are introverts. Find a point estimate for p. (Round your answer to four decimal places.) : (b) Find a 99% condence interval for ,0. (Round your answers to two decimal places.) lower limit upper limit Give a brief interpretation of the meaning of the condence interval you have found. 0 We are 99% condent that the true proportion ofiudges who are introverts falls within this interval. 0 We are 1% condent that the true proportion of judges who are introverts falls above this interval. 0 We are 1% condent that the true proportion of judges who are introverts falls within this interval. 0 We are 99% condent that the true proportion of judges who are introverts falls outside this interval. {c} Do you think the conditions no > 5 and no > 5 are satised 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 p is approximately normal. 0 Yes. the conditions are satised. This is important because it allows us to say that p is approximately binomial. O No. the conditions are not satisfied. This is important because it allows us to say that If) is approximately normal. 0 No. the conditions are not satisfied. This is important because it allows us to say that f; is approximately binomial