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 63 professional actors, it was found that 40 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. (Round your answers to two decimal places.) Find the maximal margin of error. (Round your answer to two decimal places.) E =   Report the bounds from the 95% confidence interval for p. (Round your answers to two decimal places.) lower limit upper limit  Give a brief interpretation of the meaning of the confidence interval you have found.

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Author:Amos Gilat
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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 63 professional actors, it was found that 40 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. (Round your answers to two decimal places.)
Find the maximal margin of error. (Round your answer to two decimal places.)
E =  
Report the bounds from the 95% confidence interval for p. (Round your answers to two decimal places.)
lower limit upper limit 
Give a brief interpretation of the meaning of the confidence interval you have found.
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