Is there a link between watching television and aggressive acts in teenagers? A
ID: 3367150 • Letter: I
Question
Is there a link between watching television and aggressive acts in teenagers? A random sample of families with teenagers was obtained from two counties in upstate New York. A total of 707 teenagers (one from each family) participated in the study. The study compared the amount of TV watched by the teens in a typical day (classified as either minimal (less than one hour per day) or moderate (more than one hour per day)), to whether the teenager had committed any aggressive acts (according to school and police reports). A two-way table of the data is shown below.
Minimal TV Moderate TV Total
(Less than one hour per day) (At least one hour per day)
Has documented aggressive acts 5 154 159
No documented aggressive acts 83 465 548
Total 88 619 707
(a) Identify the explanatory/response variables (be sure to state as variables).??
explanatory: ?
response:??
(b) State the null and alternative hypotheses (in symbols or in words) for the related test of significance given that the researchers are interested in knowing whether there is a difference in the proportion of teenagers committing aggressive acts when comparing minimal to moderate TV watchers.
(c) Are the conditions necessary for the theory-based approach met in this study? Explain.
(d) The p-value for this test was reported as 0.000027. Assuming this is valid, state (with justification) the conclusions you would draw from this study in terms of significance, causation, and generalizability.
Explanation / Answer
Solution
Given data:
Minimal TV (Less than one hour per day)
Moderate TV (At least one hour per day)
Total
Has documented aggressive acts
5
154
159
No documented aggressive acts
83
465
548
Total
88
619
707
Part (a)
Explanatory variable: Amount of TV watched by the teens in a typical day (classified as either minimal (less than one hour per day) or moderate (more than one hour per day))
Response variable: Level of Aggressiveness measured as whether the teenager had committed any aggressive acts (according to school and police reports). ANSWER 1
Part (b)
Hypotheses:
In symbols
Null H0: p1 = p2 vs Alternative H1: p1 ? p2
[p1 and p2 are proportion of teenagers committing aggressive acts among minimal and moderate TV watchers respectively.] ANSWER 2
In words
Null H0: There is no link between watching television and aggressive acts in teenagers. vs Alternative H1: There is link between watching television and aggressive acts in teenagers.
ANSWER 3
Part (c)
The conditions necessary for the theory-based approach met in this study. A complete
2 x 2 contingency table of cross classification frequency is available. ANSWER 4
Part (d)
The given p-value is very low indicating that the chances of p1 = p2 are remote.
Hence, the null hypothesis is rejected.
So, we conclude that there is sufficient evidence to suggest that watching television and aggressive acts in teenagers are associated. ANSWER 5
DONE
Minimal TV (Less than one hour per day)
Moderate TV (At least one hour per day)
Total
Has documented aggressive acts
5
154
159
No documented aggressive acts
83
465
548
Total
88
619
707
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