Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 9 - Inferences from Two Samples - 9-2 Two Proportions - Beyond the Basics - Page 453: 20


The two results are different.

Work Step by Step

We want to see if the mean is different to $\frac{1404}{2000}=0.702$, so we know $H_0:μ=0.702$ and $H1:μ\ne0.702$. We now use a Ti-84 calculator. To solve, go to "Stat," then "Tests," and then select "Stats." Doing this, we can find that the critical value and use a z-table calculator to find that $p\lt0.05$, hence the claim $p_1\ne p_2$ is supported. We use a ti-84 to find the confidence interval. To do this, we press “Stat” and then select “Tests.” Next, we select “2-PropZInt” to conduct the test. Doing this, we can find that the confidence interval goes through $0$, so we see that there is not a significant difference, meaning that $p_1=p_2$ is supported. Thus, we see that the two results are different.
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