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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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QUESTION 9

You may need to use the appropriate appendix table or technology to answer this question.

The population proportion is 0.22. What is the probability that a sample proportion will be within ±0.04 of the population proportion for each of the following sample sizes? (Round your answers to 4 decimal places.)

(a)

n = 100

(b)

n = 200

(c)

n = 500

(d)

n = 1,000

(e)

What is the advantage of a larger sample size?

There is a higher probability

will be within ±0.04 of the population proportion p.We can guarantee

will be within ±0.04 of the population proportion p. There is a higher probability

σ_p

will be within ±0.04 of the population standard deviation.As sample size increases,

E(p)

approaches p.

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