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Name: 1.) How do you "pool" two independent samples? 2.) What is the mi
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Description: 1.) How do you "pool" two independent samples? 2.) What is the minimum number of successes and failures must you have in order to pool two samples? 3.) What is the margin of error for a confidence interval for two proportions?

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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1.) How do you "pool" two independent samples?

2.) What is the minimum number of successes and failures must you have in order to pool two samples?

3.) What is the margin of error for a confidence interval for two proportions?

Expert Solution

Step 1

In two sample proportion testing, suppose we have the following statistics;

x1 = number of successes for sample 1; n1 = sample size for sample 1.

x2 = number of successes for sample 2; n2 = sample size for sample 2.

And sample proportion fr sample 1 ( $\hat p_1$ ) = x1 / n1; sample proportion for sample 2 ( $\hat p_2$ ) = x2 / n2.

Then pooled sample proportion is given by the formula; $\hat p = \frac{x_1+x_2}{n_1+n_2}$

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