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?

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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.

 

 

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