Answered: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p∗=26%. You…

Name: You want to obtain a sample to estimate a population proportion. Based
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Description: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p∗=26%. You would like to be 99.9% confident that your estimate is within 1% of the true population pr

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN: 9780547587776

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p∗=26%. You would like to be 99.9% confident that your estimate is within 1% of the true population proportion. How large of sample size is required?

n =

Expert Solution

Step 1

From the given information,

Margin error (E) = 0.01

Population proportion = 0.26

The objective is finding the sample size.

Critical value:

Using z-table, the z-critical value at the given significance level of α = 0.001 is,

Statistics homework question answer, step 1, image 1

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