a. Explanation Given info: The data show that an 18-year-old teen is suffering from depression because of bullying. The data are given below: Frequency of Being Bullied Never Occasionally Frequently Total Depressed 97 103 101 301 Not depressed 1,762 1,343 582 3,687 Calculation: Let the sample proportion of teens who are suffering from depression because of bullying occasionally be denoted as p 1 ^ p 1 ^ = Number of teens who have suffered from depression because of bullying occasionally Total number of teens who have suffered from depression = 103 301 = 0.342 Thus, the proportion of teens who have suffered from depression because of bullying occasionally is 0.342. Let the sample proportion of teens who are not suffering from depression because of bullying occasionally be denoted as p 2 ^ p 2 ^ = Number of teens who haven't suffered from depression because of bullying occasionally Total number of teens who have suffered from depression = 1 , 343 3 , 687 = 0.364 Thus, the proportion of teens who have not suffered from depression because of bullying occasionally is 0.364. p ^ is the pooled sample proportion, and it is calculated using the formula: p ^ = Number of successes obtained in both samples Total number of individuals in both samples Thus, the pooled sample proportion is given below: p ^ = 103 + 1 , 343 97 + 103 + 101 + 1 , 762 + 1 , 343 + 582 = 1 , 446 3 , 988 = 0 b. To determine To test: Whether there is a significant difference between the proportion of bullying frequently at the age of 13 and those who suffer and do not suffer from depression at the age of 18. To find: The P -value. c. To determine To explain: The reason for P -value obtained from individual outcomes cannot tell anything about the differences in the type of bullying and depression.

8th Edition

ISBN: 9781319042578

Author: David S. Moore, William I. Notz, Michael A. Fligner

Publisher: W. H. Freeman

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Question

Chapter 25.2, Problem 3AYK

To determine

To test: Whether there is any significant difference between the proportion of bullying occasionally at the age of 13 and those who suffer and do not suffer from depression at the age of 18.

To find: The P-value.

To determine

To test: Whether there is a significant difference between the proportion of bullying frequently at the age of 13 and those who suffer and do not suffer from depression at the age of 18.

To find: The P-value.

To determine

To explain: The reason for P-value obtained from individual outcomes cannot tell anything about the differences in the type of bullying and depression.

Expert Solution & Answer

Chapter 25 Solutions

The Basic Practice of Statistics

Ch. 25.1 - Prob. 1AYK Ch. 25.1 - Prob. 2AYK Ch. 25.2 - Prob. 3AYK Ch. 25.2 - Prob. 4AYK Ch. 25.3 - Prob. 5AYK Ch. 25.3 - Prob. 6AYK Ch. 25.5 - Prob. 7AYK Ch. 25.5 - Prob. 8AYK Ch. 25.5 - Prob. 9AYK Ch. 25.6 - Prob. 10AYK

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