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In a random sample of 514 judges, it was found that 293 were introverts. l USE SALT (a) Let p represent the proportion of all

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In a random sample of 514 judges, it was found that 293 were introverts. l 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.) (b) Find a 99% confidence interval for p. (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. We are 99% condent that the true proportion of judges who are introverts falls outside this interval. We are 99% condent that the true proportion of judges who are introverts falls within this interval. " We are 1% confident that the true proportion of judges who are introverts falls above this interval. We are 1% confident that the true proportion of judges who are introverts falls within this interval. (c) Do you think the conditions np > 5 and nq > 5 are satisfied in this problem? Explain why this would be an important consideration. Yes, the conditions are satisfied. This is important because it allows us to say thath is approximately binomial. No, the conditions are not satised. This is important because it allows us to say that f) is approximately binomial. Yes, the conditions are satisfied. This is important because it allows us to say thatf) is approximately normal. " No, the conditions are not satised. This is important because it allows us to say that 1') is approximately normal

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