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25. (-/5 Points] DETAILS BBBASICSTAT8 8.3.011.5. MY NOTES ASK YOUR TEACHER PRACTICE AND For this problem, entry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding In a random sample of 54 professional actors, it was found that 37 were extrovertu. A USE SALT (9) Letp represent the proportion of all actors who we extroverts. Find a point estimate for sound your answer to four decimat place) () Find a confiance interval for p (Round your answers to two decimal places.) lower lim upper limit Give a brief interpretation of the meaning of the confidence interval you have found We are 5% confident that the true proportion of actors who are extrovertsfalls above this interval We are 95% confident that the true proportion of actors who are extroverts fails within this interval We are 5% confident that the true proportion of actors who are extrovertsfalls within this interval We are 95% confident that the true proportion of actors who are extroverts faits outside this interval (c) Do you think the conditions np > Sand ng > 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 that is approximately normal Yes, the conditions are satisfied. This is important because it allows us to say that is approximately binomial No, the conditions are not satisfied. This is important because it allows us to say that is approximately normal No, the conditions are not satisfied. This is important because it allows us to say that is approximately binomial