Answered: Use the expression in the accompanying…

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

Use the expression in the accompanying discussion of sample size to find the size of each sample if you want to estimate the difference between proportions of men and women who own smartphones. Assume that you want 99%confidence that your error is no more than 0.05.

The sample should include______men and______women.

(Type whole numbers.)

HINT:

The sample size needed to estimate the difference between two population proportions to within a margin of error E with a confidence level of

1−α

can be found by using the following expression:

E=zα/2p1q1n1+p2q2n2

Replace

n1 and n2 by n in the preceding formula (assuming that both samples have the same size) and replace each of p1, q1, p2, and q2 by 0.5

(because their values are not known). Solving for n results in this expression:

n= z^2α/2

_______

2E^2

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