**Study on Laboratory Gloves and Virus Leakage**A newspaper article published a study involving laboratory gloves subjected to stress testing. The study involved:- **237 vinyl gloves:** 59% of these gloves leaked viruses.- **237 latex gloves:** 9% of these gloves leaked viruses.The study aimed to test the claim, at a 0.05 significance level, that vinyl gloves have a higher virus leak rate than latex gloves. For this analysis, vinyl gloves are considered as population 1.**Hypotheses:**- Null Hypothesis (H₀): $ p_1 = p_2 $- Alternative Hypothesis (H₁): $ p_1 > p_2 $**Statistical Analysis:**- **Pooled proportion:** 0.34- **Test statistic (z):** 11.4166- **Critical z-value:** 1.6449- **P-value:** 0.0000**Confidence Interval:**The 90% confidence interval for the difference in proportions is given as $ 0.437413 < p_1 - p_2 < 0.558632 $.The analysis strongly supports the claim that vinyl gloves have a higher virus leak rate than latex gloves, with the p-value indicating a significant difference in leak rates.

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Answered: A newspaper published an article about…

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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