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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 of70professional actors, it was found that38were 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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