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 70 professional actors, it was found that 44 were extroverts. (a) Let p represent the proportion of all actors who are extroverts. Find point estimates for p and q. (Round your answer to four decimal places.) p̂ = q̂ = (b) Find a 95% confidence interval for p. Find the maximal margin of error. (Round your answer to two decimal places.) E = c) Report the bounds from the 95% confidence interval for p. (Round your answers to two decimal places.) lower limit upper limit

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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 of 70 professional actors, it was found that 44 were extroverts.


(a) Let p represent the proportion of all actors who are extroverts. Find point estimates for p and q. (Round your answer to four decimal places.)
p̂ =
q̂ =

(b) Find a 95% confidence interval for p. Find the maximal margin of error. (Round your answer to two decimal places.)
E =

c) Report the bounds from the 95% confidence interval for p. (Round your answers to two decimal places.)
lower limit
upper limit

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