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The data from problem 13 show no significant relation-ship between the type of game and helping behavior. To construct the following data, we simply doubled the sample size from problem 13 so that all of the individual frequencies are twice as big. Notice that the sample proportions have not changed. Prosocial Violent Neutral Helped 24 14 16 54 Did not Help 6 16 14 36 30 30 30 a. Test for a significant relationship using α = .05. How does the decision compare with the decision in problem 13? You should find that a larger sample increases the likelihood of a significant result. b. Compute the phi-coefficient for these data and compare it with the result from problem 13. You should find that the sample size has no effect on the strength of the relationship.

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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
Publisher: Cengage Learning
ISBN: 9781133956570
BuyFind

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
Publisher: Cengage Learning
ISBN: 9781133956570

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Chapter
Section
Chapter 15, Problem 14P
Textbook Problem

The data from problem 13 show no significant relation-ship between the type of game and helping behavior. To construct the following data, we simply doubled the sample size from problem 13 so that all of the individual frequencies are twice as big. Notice that the sample proportions have not changed.

  Prosocial Violent Neutral  
Helped 24 14 16 54
Did not Help 6 16 14 36
  30 30 30  
  • a. Test for a significant relationship using α = .05. How does the decision compare with the decision in problem 13? You should find that a larger sample increases the likelihood of a significant result.
  • b. Compute the phi-coefficient for these data and compare it with the result from problem 13. You should find that the sample size has no effect on the strength of the relationship.

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