Statistics: The Art and Science of Learning From Data, Books a la Carte Edition (4th Edition)

4th Edition

ISBN: 9780133860825

Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

Publisher: PEARSON

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Textbook Question

Chapter 14.3, Problem 25PB

Political ideology in 2014 The GSS measures political ideology on a seven-point scale, starting with 1 = extremely liberal, to 4 = moderate, to 7 = extremely conservative. The following table shows results from an ANOVA analysis about political ideology, with sex (female, male) and race (black, white) as two factors, using 2014 GSS data.

a. State the null hypothesis to which the F test statistic in the race row refers.
b. Show how to use mean squares to construct the F test statistic for the race main effect, report its P-value, and interpret.
c. Is there evidence that the mean political ideology in the United States differs between females and males, for either blacks or whites? Explain.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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Chapter 14.3, Problem 24PB

Chapter 14.3, Problem 26PB

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Chapter 14 Solutions

Statistics: The Art and Science of Learning From Data, Books a la Carte Edition (4th Edition)

Ch. 14.1 - Hotel satisfaction The CEO of a company that owns...Ch. 14.1 - Prob. 2PB Ch. 14.1 - Whats the best way to learn French? The following...Ch. 14.1 - Prob. 4PB Ch. 14.1 - Prob. 5PB Ch. 14.1 - ANOVA and box plots For two studies, each...Ch. 14.1 - Prob. 7PB Ch. 14.1 - Smoking and personality A study about smoking and...Ch. 14.1 - Prob. 9PB Ch. 14.1 - Prob. 10PB

Ch. 14.1 - Prob. 11PB Ch. 14.2 - House prices and age For the House Selling Prices...Ch. 14.2 - Time on Facebook Do freshmen spent significantly...Ch. 14.2 - Prob. 14PB Ch. 14.2 - Tukey holding time comparisons Refer to the...Ch. 14.2 - Prob. 16PB Ch. 14.2 - REM regression Refer to the previous exercise. a....Ch. 14.2 - Prob. 18PB Ch. 14.2 - Regression for outsourcing Refer to the previous...Ch. 14.2 - Advertising effect oil sales Each of 100...Ch. 14.3 - Reducing cholesterol An experiment randomly...Ch. 14.3 - Prob. 24PB Ch. 14.3 - Political ideology in 2014 The GSS measures...Ch. 14.3 - Prob. 26PB Ch. 14.3 - Corn and manure In Example 10, the coefficient of...Ch. 14.3 - Prob. 28PB Ch. 14.3 - Regression for telephone holding times Refer to...Ch. 14.3 - Prob. 30PB Ch. 14.3 - Income by gender and degree In 2012, the...Ch. 14.3 - Prob. 32PB Ch. 14.3 - Attractiveness and getting dates The results in...Ch. 14.3 - Prob. 34PB Ch. 14.3 - Regression of weight gain on diet Refer to the...Ch. 14 - Good friends and marital status Is the number of...Ch. 14 - Prob. 37CP Ch. 14 - Singles watch more TV The 2014 General Social...Ch. 14 - Prob. 39CP Ch. 14 - Prob. 40CP Ch. 14 - Prob. 41CP Ch. 14 - Prob. 42CP Ch. 14 - Prob. 43CP Ch. 14 - Comparing therapies for anorexia The Anorexia data...Ch. 14 - Prob. 45CP Ch. 14 - Prob. 46CP Ch. 14 - Prob. 47CP Ch. 14 - Prob. 48CP Ch. 14 - Prob. 49CP Ch. 14 - Prob. 50CP Ch. 14 - Prob. 51CP Ch. 14 - TV watching by gender and race When we use the...Ch. 14 - Prob. 53CP Ch. 14 - Prob. 54CP Ch. 14 - Prob. 55CP Ch. 14 - Prob. 56CP Ch. 14 - Prob. 57CP Ch. 14 - Prob. 59CP Ch. 14 - Prob. 60CP Ch. 14 - Prob. 61CP Ch. 14 - Prob. 62CP Ch. 14 - Prob. 63CP Ch. 14 - Prob. 64CP Ch. 14 - Prob. 65CP Ch. 14 - Prob. 66CP Ch. 14 - Prob. 67CP Ch. 14 - Prob. 68CP Ch. 14 - Prob. 69CP Ch. 14 - Prob. 70CP Ch. 14 - Prob. 71CP

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Solution Summary: The author explains the null hypothesis and the probability of getting a test statistic as extreme as the value observed.

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