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 522 judges, it was found that 285 were introverts.(a) Let p represent the proportion of all judges who are introverts. Find a point estimate for p. (Round your answer to four decimal places.)(b) Find a 99% confidence interval for p. (Round your answers to two decimal places.)lower limitupper limit(c) Give a brief interpretation of the meaning of the confidence interval you have found.1. We are 1% confident that the true proportion of judges who are introverts falls above this interval.2. We are 99% confident that the true proportion of judges who are introverts falls within this interval. 3. We are 1% confident that the true proportion of judges who are introverts falls within this interval.4. We are 99% confident that the true proportion of judges who are introverts falls outside this interval.

Given information Favorable cases= x = 285 Sample size = n= 522 Confidence level = CI=99%

Answered: Find a 99% confidence interval for p.…

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 522 judges, it was found that 285 were introverts.

(a) Let p represent the proportion of all judges who are introverts. Find a point estimate for p. (Round your answer to four decimal places.)

(b) Find a 99% confidence interval for p. (Round your answers to two decimal places.)

lower limit
upper limit

1. We are 1% confident that the true proportion of judges who are introverts falls above this interval.
2. We are 99% confident that the true proportion of judges who are introverts falls within this interval.
3. We are 1% confident that the true proportion of judges who are introverts falls within this interval.
4. We are 99% confident that the true proportion of judges who are introverts falls outside this interval.

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