12) Some people believe that boys who play video games are prone to anger more quickly than boys who don't play video games. Here is a two-way table of the results of a study: How many got into How many did not Total fights get into fights Boys who play video 36 55 91 games Boys who don't play 578 video games 1436 2014 Total 614 1491 2105 a) Based on the above table, calculate the value of chi-square. b) Based on the above table, calculate the degrees of freedom. c) What is the P-value? What can you conclude from this value?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
12) Some people believe that boys who play video games are prone to anger more quickly than boys who
don't play video games. Here is a two-way table of the results of a study:
How many got into
fights
Total
How many did not
get into fights
Boys who play video 36
55
91
games
Boys who don't play 578
video games
1436
2014
Total
614
1491
2105
a) Based on the above table, calculate the value of chi-square.
b) Based on the above table, calculate the degrees of freedom.
c) What is the P-value? What can you conclude from this value?
Transcribed Image Text:12) Some people believe that boys who play video games are prone to anger more quickly than boys who don't play video games. Here is a two-way table of the results of a study: How many got into fights Total How many did not get into fights Boys who play video 36 55 91 games Boys who don't play 578 video games 1436 2014 Total 614 1491 2105 a) Based on the above table, calculate the value of chi-square. b) Based on the above table, calculate the degrees of freedom. c) What is the P-value? What can you conclude from this value?
Expert Solution
Step 1

(a)

State the hypotheses.

Null hypothesis:

Statistics homework question answer, step 1, image 1

Obtain the value of the test statistic.

The value of the test statistic is obtained below:

Statistics homework question answer, step 1, image 2

Statistics homework question answer, step 1, image 3

 

Statistics homework question answer, step 1, image 4

Thus, the value of the test statistic is 4.971

 

Step 2

 

(b)

Obtain the degrees of freedom.

The degrees of freedom is obtained below:

Statistics homework question answer, step 2, image 1

Thus, the degrees of freedom is 1.

 

 

steps

Step by step

Solved in 3 steps with 6 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman