Chapter 15, Problem 14P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

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.

**a.**

To determine

**To Find:** If there is significant relationship between the type of game played and helping behavior

Explanation

**Given info:** A sample of 90 participants were involved in a study. The distribution is given in the question. Use

Prosocial | Violent | Neutral | Total | |

Helped | 24 | 14 | 16 | 54 |

Didn’t help | 6 | 16 | 14 | 36 |

Total | 30 | 30 | 30 | 90 |

**Calculation:**

Step 1: Null Hypothesis and Alternate Hypothesis are:

Step 2: For the given sample, degrees of freedom equals:

With

Step 3:

The formula to calculate expected frequency is:

Substitute

For the row 1, the expected frequencies are:

**b.**

To determine

**To Find:** The value of phi-coefficient for the given question.

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