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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

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 of69professional actors, it was found that36were extroverts.(a) Letprepresent the proportion of all actors who are extroverts. Find a point estimate forp. (Round your answer to four decimal places.) (b) Find a 95% confidence interval forp. (Round your answers to two decimal places.)

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