Question: this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. In a random sample of61professional

this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

In a random sample of61professional actors, it was found that45were extroverts.

(a)

Letprepresent the proportion of all actors who are extroverts. Find point estimates forpandq. (Round your answer to four decimal places.)

p=

q=

(b)

Find a 95% confidence interval forp. (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 forp. (Round your answers to two decimal places.)

lower limit=

upper limit=

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