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Find and . Round your answers to three decimal places. n=176 and X=83 p= 0.511 q=0.489 X Ś

Find and . Round your answers to three decimal places. n=176 and X=83 p= 0.511 q=0.489 X Ś

MATLAB: An Introduction with Applications
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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To find \(\hat{p}\) and \(\hat{q}\), we are using the formula for sample proportions. Given that \(n = 176\) and \(X = 83\), we can calculate: \[ \hat{p} = \frac{X}{n} = \frac{83}{176} \] \[ \hat{q} = 1 - \hat{p} \] The problem asks to round the answers to three decimal places. Calculation results: - \(\hat{p} = 0.472\) (The given answer of 0.511 is incorrect). - \(\hat{q} = 0.528\) (The given answer of 0.489 is incorrect). The red 'X' next to each given answer indicates they are incorrect. Thus, ensure the calculations are correctly performed and rounded precisely to three digits.
Transcribed Image Text:To find \(\hat{p}\) and \(\hat{q}\), we are using the formula for sample proportions. Given that \(n = 176\) and \(X = 83\), we can calculate: \[ \hat{p} = \frac{X}{n} = \frac{83}{176} \] \[ \hat{q} = 1 - \hat{p} \] The problem asks to round the answers to three decimal places. Calculation results: - \(\hat{p} = 0.472\) (The given answer of 0.511 is incorrect). - \(\hat{q} = 0.528\) (The given answer of 0.489 is incorrect). The red 'X' next to each given answer indicates they are incorrect. Thus, ensure the calculations are correctly performed and rounded precisely to three digits.
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