**Journal Article Analysis: Rat Weight Experiment**An article in the *Journal of the American Statistical Association* (1990, Vol. 85, pp. 972–985) examined the weight of 30 rats under controlled experimental conditions, noting that 12 rats were underweight. **Task (a):** Calculate a 99% two-sided confidence interval for the true proportion $ p $ of rats that would be underweight in this experiment. Ensure your answers are rounded to three decimal places.\[ \text{Confidence Interval: } \quad \text{[ ]} \leq p \leq \text{[ ]} \]**Task (b):** Based on the preliminary sample's point estimate of $ p $, determine the sample size required to ensure that the error in estimating the true value of $ p $ is no greater than 0.02 with 99% confidence.\[ n = \text{[ ]} \]**Task (c):** Calculate the necessary sample size to ensure a 99% confidence that the error in estimating $ p $ is less than 0.02, irrespective of the true value of $ p $.\[ n = \text{[ ]} \]

Given that Sample size n =30Favorable cases x =12Sample proportion p^=x/n =12/30=0.4

Answered: An article in Journal of the American…

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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