(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
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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