### Problem 3You are a human factors engineer studying the impact that helmets worn by operators on a factory floor might receive during a particular repair operation. A random sample of 50 helmets worn during the operation shows that 18 have received damage of some sort.**a.** Find a 95% confidence interval for the true proportion of helmets that receive damage during the repair operation. Note that this could serve as a proxy for describing how dangerous the current repair operation is.**b.** Using the point estimate obtained by the preliminary sample of 50, how many helmets should be tested to be 95% confident that the error in estimating the true proportion is less than 0.02?**c.** Repeat the approach in part b but without the preliminary point estimate to provide a more conservative sample size. Think about what value of \( \hat{p} \) would do that.

Given : Sample size n= 50Favorable case X= 18 Hence, Sample proportion…

Answered: You're a human factors engineer…

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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