Suggested languages for you:

Americas

Europe

Q. 105

Expert-verifiedFound in: Page 430

Book edition
6th

Author(s)
Daren Starnes, Josh Tabor

Pages
837 pages

ISBN
9781319113339

$10\%$ condition To use a binomial distribution to approximate the count of successes in an SRS, why do we require that the sample size n be less than $10\%$ of the population size $N$ ?

The sample size n must be smaller than 10% of the population size N.

The given population is 10%

If the 10 % condition is met, a binomial distribution can be used to approximate the number of successes in a simple random sample. The 10% condition requires that the sample represents less than 10% of the population. Despite the fact that the sample size is far too tiny in comparison to the population, it is reasonable to infer that the trials of occurrences are independent. This suggests that the sample size n must be smaller than 10% of the population size N in this situation.

94% of StudySmarter users get better grades.

Sign up for free