Introductory Statistics, Books a la Carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (10th Edition)

10th Edition

ISBN: 9780134270364

Author: Neil A. Weiss

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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Textbook Question

Chapter 16, Problem 1CSD

SELF-PERCEPTION AND PHYSICAL ACTIVITY

As you learned at the beginning of this chapter, Z, Veselska et al. explored connections between aspects of self-perception and physical activity among adolescents. The study involved a sample of adolescents from the Slovak and Czech Republics with ages ranging roughly between 12 and 16.

The youths sampled completed several self-perception questionnaires and also answered a question about their physical activity. The respondents were divided into three physical-activity categories: no physical activity (none), infrequent physical activity (infrequent), and everyday physical activity (everyday). Summary statistics for the researchers¹ findings for boys and girls separately are presented in the table on page 699.

First consider self-liking.

a. Assuming that self-liking scores for boys are approximately normally distributed in each physical-activity category, can we reasonably presume that the conditions for performing a one-way ANOVA are met? (Hint: Rule of 2)
b. Perform a one-way ANOVA to decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that a difference exists in mean self-liking scores among adolescent boys in the three physical-activity categories. Interpret your result.
c. If appropriate, conduct a Tukey multiple comparison of the three mean sell-liking scores and interpret your results. Use a family confidence level of 0.95.
d. Repeat parts (a)-(c) for girls.
1. Next consider self-competence.
e. Assuming that self-competence scores for boys are approximately normally distributed in each physical-activity category, can we reasonably presume that the conditions for performing a one-way AN OVA are met?
f. Perform a one-way ANOVA to decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that a difference exists in mean sell-competence scores among adolescent boys in the three physical-activity categories. Interpret your result.
g. If appropriate, conduct a Tukey multiple comparison of the three mean self-competence scores and interpret your results. Use a family confidence level of 0.95.
h. Repeat parts (e)-(g) for girls.

Now select any one of the remaining aspects-of self categories and repeal parts (a)-(d).

Chapter 16, Problem 1CSD, SELF-PERCEPTION AND PHYSICAL ACTIVITY As you learned at the beginning of this chapter, Z, Veselska

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 16, Problem 1FDA

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Chapter 16 Solutions

Introductory Statistics, Books a la Carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (10th Edition)

Ch. 16.1 - How do we identify an F-distribution and its...Ch. 16.1 - How many degrees of freedom does an F-curve have?...Ch. 16.1 - What symbol is used to denote the F-value having...Ch. 16.1 - Using the F-notation, identify the F-value having...Ch. 16.1 - An F-curve has df = (12, 7). What is the number of...Ch. 16.1 - An F-curve has df = (8, 19). What is the number of...Ch. 16.1 - In Exercises 16.716.10, use Table VIII in Appendix...Ch. 16.1 - Prob. 8E Ch. 16.1 - Prob. 9E Ch. 16.1 - Prob. 10E

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Solution Summary: The author states that the conditions of performing one-way ANOVA are acceptable for boys in self-liking. The ratio of the largest to smallest sample standard deviation is less than 2.

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