............ 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 60 professional actors, it was found that 44 were extroverts. n USE SALT (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.) (b) Find a 95% confidence interval for p. 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
............ 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 60 professional actors, it was found that 44 were extroverts. n USE SALT (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.) (b) Find a 95% confidence interval for p. 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 60 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.)
\[
\hat{p} = \underline{\hspace{1cm}}
\]
\[
\hat{q} = \underline{\hspace{1cm}}
\]
(b) Find a 95% confidence interval for \( p \).
Find the maximal margin of error. (Round your answer to two decimal places.)
\[
E = \underline{\hspace{1cm}}
\]
Report the bounds from the 95% confidence interval for \( p \). (Round your answers to two decimal places.)
\[
\text{lower limit} = \underline{\hspace{1cm}}
\]
\[
\text{upper limit} = \underline{\hspace{1cm}}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00154cd9-82c7-455b-845c-02cf21fdb65c%2F7916364b-398f-4e7c-a92a-6cddc0704ce6%2Feuyxc0l_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 60 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.)
\[
\hat{p} = \underline{\hspace{1cm}}
\]
\[
\hat{q} = \underline{\hspace{1cm}}
\]
(b) Find a 95% confidence interval for \( p \).
Find the maximal margin of error. (Round your answer to two decimal places.)
\[
E = \underline{\hspace{1cm}}
\]
Report the bounds from the 95% confidence interval for \( p \). (Round your answers to two decimal places.)
\[
\text{lower limit} = \underline{\hspace{1cm}}
\]
\[
\text{upper limit} = \underline{\hspace{1cm}}
\]
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