Question

(Table: TV and Aggressiveness) In a fictional study, a
pretest-posttest design was used to examine the influence of a
television program on children's aggressiveness. The number of
aggressive responses was measured during an observation period both
before and after the television program. **Perform the six
steps of hypothesis testing using the following data to determine
if there is a difference in the number of aggressive behaviors in
children after having viewed the television program.**

Table: TV and Aggressiveness

Participant |
Before |
After |

1 |
6 |
9 |

2 |
4 |
3 |

3 |
12 |
11 |

4 |
9 |
12 |

5 |
10 |
14 |

6 |
2 |
6 |

7 |
14 |
12 |

**Step 1: Identify the populations, the comparison
distribution, and evaluate the assumptions.**

**Step 2: State the null and research
hypothesis**

**Step 3: Determine the characteristics of the comparison
distribution**

**Step 4: Determine critical value**

**Step 5: Calculate test statistic**

**Step 6: Make decision**

Answer #1

This is a paired sample T-test

Participants | Before | After | Difference |

1 | 6 | 9 | -3 |

2 | 4 | 3 | 1 |

3 | 12 | 11 | 1 |

4 | 9 | 12 | -3 |

5 | 10 | 14 | -4 |

6 | 2 | 6 | -4 |

7 | 14 | 12 | 2 |

Test statistic:

degree of freedom = n-1=6

P value for the two-tailed test = 0.2027

Since the P value is greater than the significance level 0.05, we fail to reject the null hypothesis.

Hence we have no evidence that there is a difference in the number of aggressive behaviours in children after having viewed the television program.

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5
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4
6
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5
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6
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2
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3
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5
8
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5
6
13
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13
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