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2. [10.2 Points] DETAILS BBUNDERSTAT12 7.3.011.EP.5. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 62 professional actors, it was found that 44 were extroverts. 12 use SALT (a) Let ,9 represent the proportion of all actors who are extroverts. Find point estimates for p and q. (Round your answer to four decimal places.) =: =: (13) Find a 95% condence interval for p. 'U) In; Find the maximal margin of error. [Round your answer to two decimal places.) a: Report the bounds from the 95% condence interval for p. {Round your answers to two decimal places.) Give a brief interpretation of the meaning ofthe condence interval you have found. 0 We are 95% condent that the true proportion of actors who are extroverts falls outside this interval. 0 We are 95% condent that the true proportion of actors who are extroverts falls within this interval. 0 We are 5% condent that the true proportion of actors who are extroverts falls within this interval. 0 We are 5% condent that the true proportion of actors who are extroverts falls above 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 binomial. O No. the conditions are not satisfied. This is important because 'rt allows us to say that f) is approximately normal. O No. the conditions are not satisfied. This is important because 'rt allows us to say that f) is approximately binomial. 0 Yes, the conditions are satised. This is important because it allows us to say that p is approximately normal