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 503 judges, it was found that 282 were introverts. (a) Let p represent the proportion of all judges who are introverts. Find a point estimate for p. (b) Find a 99% confidence interval for p. Give a brief interpretation of the meaning of the confidence interval you have found. (c) Do you think the conditions np > 5 and nq > 5 are satisfied in this problem? Explain why this would be an important consideration.