**Transcription: Constructing a 99% Confidence Interval**If $ n = 540 $ and $ \hat{p} $ (p-hat) = 0.55, construct a 99% confidence interval.Give your answers to three decimals.| ____ < $ p $ < ____ |- **Question Help:** Message instructor- **Submit Question** button**Description:**This task involves determining the 99% confidence interval for a population proportion, using a sample size $ n $ of 540 and a sample proportion $ \hat{p} $ of 0.55. The confidence interval will be expressed with precision to three decimal places. There are input fields provided to enter the lower and upper bounds of the confidence interval.

Given Data: n=540 p^=0.55α=0.01 Since 'n' is large enough we will use normal approximation 99% Confidence Interval : p^±z0.01/2×p^(1-p^)n0.55±2.576×0.55(1-0.55)500.55±0.1812(0.369, 0.731) Therefore 99% Confidence Interval is 0.369< p < 0.731

Answered: If n 540 and p (p-hat) = 0.55,…

Math

Statistics

If n 540 and p (p-hat) = 0.55, construct a 99% confidence interval. Give your answers to three decimals

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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**Transcription: Constructing a 99% Confidence Interval**

If $ n = 540 $ and $ \hat{p} $ (p-hat) = 0.55, construct a 99% confidence interval.

Give your answers to three decimals.

| ____ < $ p $ < ____ |

- **Question Help:** Message instructor
- **Submit Question** button

**Description:**

This task involves determining the 99% confidence interval for a population proportion, using a sample size $ n $ of 540 and a sample proportion $ \hat{p} $ of 0.55. The confidence interval will be expressed with precision to three decimal places. There are input fields provided to enter the lower and upper bounds of the confidence interval.

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