(a) Explanation Given: Out of a random sample of 2281 American adults of ages 18 and older, 31% of the people were willing to sacrifice some salary to work for an environment friendly work place, 39% were not willing and 30% of the people declined to answer. Formula used: The calculated standard deviation for the normal distribution for these samples is 1 2 n × 100 % , where n is the sample size . Approximately 95% of the samples have the percentage within two deviations of the true mean percentage, r %. So, two deviations is 2 × 1 2 n × 100 % = 1 n × 100 % According to the above equation, there is a 95% probability that the true mean percentage lies between the values: sample percentage − 1 n × 100 % and sample percentage + 1 n × 100 % (b) To determine A statement about the percentage of Americans who would sacrifice some salary in order to work for an environmentally friendly work place.

Thinking Mathematically, Books a la carte Edition plus MyLab Math with Pearson eText -- Access Card Package (6th Edition)

6th Edition

ISBN: 9780321999061

Author: Robert F. Blitzer

Publisher: PEARSON

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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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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 12, Problem 50RE

(a)

To determine

To calculate: The margin of error.

(b)

To determine

A statement about the percentage of Americans who would sacrifice some salary in order to work for an environmentally friendly work place.

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Chapter 12, Problem 49RE

Chapter 12, Problem 51RE

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Chapter 12 Solutions

Thinking Mathematically, Books a la carte Edition plus MyLab Math with Pearson eText -- Access Card Package (6th Edition)

Ch. 12.1 - CHECK POINT 1 A city government wants to conduct a...Ch. 12.1 - CHECK POINT 2 Explain why the sampling technique...Ch. 12.1 - CHECK POINT 3 Construct a frequency distribution...Ch. 12.1 - CHECK POINT 4 Use the classes in Table 12.3 to...Ch. 12.1 - CHECKPOINTS 5 Construct a stem-and-leaf plot for...Ch. 12.1 - A sample obtained in such a way that every member...Ch. 12.1 - Prob. 2CVC Ch. 12.1 - Fill in each blank so that the resulting statement...Ch. 12.1 - 4. Data can be displayed using a bar graph with...Ch. 12.1 - Prob. 5CVC

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The margin of error.