4th Edition

ISBN: 9781259746826

Author: Bluman

Publisher: MCG

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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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Textbook Question

Chapter 13.2, Problem 1AC

Clean Air

An environmentalist suggests that the median of the number of days per month that a large city failed to meet the EPA acceptable standards for clean air is 11 days per month. A random sample of 20 months shows the number of days per month that the air quality was below the EPA’s standards.

Chapter 13.2, Problem 1AC, Clean Air An environmentalist suggests that the median of the number of days per month that a large

1. What is the claim?

2. What test would you use to test the claim? Why?

3. State the hypotheses.

4. Select a value for α and find the corresponding critical value.

5. What is the test value?

6. What is your decision?

7. Summarize the results.

8. Could a parametric test be used?

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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Chapter 13.1, Problem 12E

Chapter 13.2, Problem 1E

Chapter 13 Solutions

ELEMENTARY STATISTICS W/CONNECT >IP<

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Solution Summary: The author states that the hypothesis tests the median of the number of days per month that a large city failed to meet the EPA acceptable standards for clean air.

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