**Transcription for Educational Website**---**Problem Statement:**A media research group uses samples of 5000 households to rank TV shows. The group reported that a news show had 16% of the TV audience. What is the 95% confidence interval for this result?---Find the 95% confidence interval.\[ \text{___} < p < \text{___} \]*(Type integers or decimals rounded to three decimal places as needed.)*---**Explanation:**To calculate a 95% confidence interval for a proportion, you can use the formula:\[ \hat{p} \pm Z \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \]Where:- \( \hat{p} \) is the sample proportion (0.16 in this case).- \( Z \) is the Z-score for a 95% confidence level (approximately 1.96).- \( n \) is the sample size (5000).This calculation will help determine the range in which the true proportion of the TV audience likely falls with 95% confidence.

Given that n = 5000 , p = 16% = 0.16

Answered: K A media research group uses samples…

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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K A media research group uses samples of 5000 households to rank TV shows. The group reported that a news show had 16% of the TV audience. What is the 95% confidence interval for this result? Find the 95% confidence interval.