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A random sample of 100 articles from a large batch of articles contains 10 defective articles. What is the standard error of estimation of the sample proportion?

A random sample of 100 articles from a large batch of articles contains 10 defective articles. What is the standard error of estimation of the sample proportion? Correct Answer 0.03

Given

n = 100

p = 10/100 = 0.1

q = 1- p = 1 - 0.1 = 0.9

Formula

Standard error of estimation = SEp = √

Calculation

SEP = √(0.1 × 0.9)/100]

⇒ 0.03

∴ Standard error of estimation is 0.03

 

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