One day, a poll appeared on a certain website. It asked "Do you believe that rain can soothe the heart and cleanse the mind?" Unsurprisingly, 58% of 749answers were "Yes".Calculate the margin of error for this poll. Round the percentage to one decimal place. Do not round intermediate steps.If 749 people were asked that question and 58% of them replied "Yes", the margin of error is

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Description: One day, a poll appeared on a certain website. It asked "Do you believe that rain can soothe the heart and cleanse the mind?" Unsurprisingly, 58% of 749answers were "Yes".Calculate the margin of error for this poll. Round the percentage to one decim

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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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One day, a poll appeared on a certain website. It asked "Do you believe that rain can soothe the heart and cleanse the mind?" Unsurprisingly, 58% of 749
answers were "Yes".
Calculate the margin of error for this poll. Round the percentage to one decimal place. Do not round intermediate steps.
If 749 people were asked that question and 58% of them replied "Yes", the margin of error is

Expert Solution

Step 1

Margin of Error (MoE):

It is the range of values below and above the sample statistics of the confidence interval. Similarly, it is the range of values below and above the population parameter of the confidence interval.

Therefore,

MoE=critical value * standard deviation (for the population)

MoE=critical value * standard error (for the sample)

MoE= $z_{α} * \sqrt{\frac{\hat{p} (1 - \hat{p})}{n}}$ ,

Where,

z_alpha is the critical value,

p_hat is the sample proportion,

n is the size of sample

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