Why is it that the formula to tell that the sampling distribution of p hat will be approximately normal is np must be greater than or equal to 10 and n(1-p) is greater than or equal to 10? Why is it 10? Why not 20 or other numbers? What is the reason behind 10? Thanks! ShapeLet ô be the sample proportion of successes in a random sample of size nselected from a population with proportion of successes p. Then, thesampling distribution of ô will be approximately normal whennp ≥ 10 and n(1 − p) ≥ 10For our example about students with driver's licenses, n = 50 and p = 0.3:np = 50(0.3) = 15 ≥ 10 andn(1 − p) = 50(1 – 0.3) = 35 ≥ 10-Therefore the distribution of p is approximately normal in this context.

Sol:- The rule of thumb that np ≥ 10 and n(1-p) ≥ 10 is based on the central limit theorem (CLT),…

Why is it that the formula to tell that the sampling distribution of p hat will be approximately normal is np must be greater than or equal to 10 and n(1-p) is greater than or equal to 10? Why is it 10? Why not 20 or other numbers? What is the reason behind 10? Thanks!

Why is it that the formula to tell that the sampling distribution of p hat will be approximately normal is np must be greater than or equal to 10 and n(1-p) is greater than or equal to 10? Why is it 10? Why not 20 or other numbers? What is the reason behind 10? Thanks!

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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