12th Edition

ISBN: 9780321836960

Author: Mario F. Triola

Publisher: PEARSON

Concept explainers

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 8.3, Problem 36BB

Using Confidence Intervals to Test Hypotheses When analyzing the last digits of telephone numbers in Port Jefferson, it is found that among 1000 randomly selected digits, 1 19 are zeros. If the digits are randomly selected, the proportion of zeros should be 0.1.

a. Use the critical value method with a 0.05 significance level to test the claim that the proportion of zeros equals 0.1.
b. Use the P-value method with a 0.05 significance level to test the claim that the proportion of zeros equals 0.1.
c. Use the sample data to construct a 95% confidence interval estimate of the proportion of zeros. What does the confidence interval suggest about the claim that the proportion of zeros equals 0.1 ?
d. Compare the results from the critical value method, the P-value method, and the confidence interval method. Do they all lead to the same conclusion?

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.

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Chapter 8.3, Problem 35BB

Chapter 8.3, Problem 37BB

Chapter 8 Solutions

Elementary Statistics

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Solution Summary: The author explains that the test statistic is 2.00 and the degree of freedom is 999. The null hypothesis is rejected.

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