A study considered whether greater levels of television watching by teenagers were associated with a greater likelihood of aggressive behavior. The researchers randomly sampled 707 fam in two counties in northern New York state and made follow-up observations over 17 years. Table 10.3 shows results about whether a sampled teenager later conducted any aggressive act against another person, according to a self-report by that person or by his or her parent. The bar chart in the margin figure summarizes the results. Table 10.3 TV Watching by Teenagers and Later Aggressive Acts Aggressive Act No TV Watching Less than 1 hour per day At least 1 hour per day Yes 5 154 83 465 Total 88 619 We'll identify Group 1 as those who watched less than 1 hour of TV per day, on average, as teenagers. Group 2 consists of those who averaged at least 1 hour of TV per day, as teenagers. Denote the population proportion committing aggressive acts by p1 for the lower level of TV watching and by p2 for the higher level of TV watching. Compare the proportions of the two groups and make a decision about the null hypothesis using a significance level of 0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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1. State the hypothesis

2. Compute for the test statistic. Include a properly labeled table from Excel.

3. Insert a properly shaded normal curve, showing the rejection region, graphed using Excel.

4. Make a conclusion

Is there a a significant difference or none between the two?

A study considered whether greater levels of television watching by teenagers were associated with a greater likelihood of aggressive behavior. The researchers randomly sampled 707 familie
in two counties in northern New York state and made follow-up observations over 17 years. Table 10.3 shows results about whether a sampled teenager later conducted any aggressive act
against another person, according to a self-report by that person or by his or her parent. The bar chart in the margin figure summarizes the results.
Table 10.3 TV Watching by Teenagers and Later Aggressive Acts
Aggressive Act
No
TV Watching
Less than 1 hour per day
At least 1 hour per day
Yes
5
154
83
465
Total
88
619
We'll identify Group 1 as those who watched less than 1 hour of TV per day, on average, as teenagers. Group 2 consists of those who averaged at least 1 hour of TV per day, as teenagers.
Denote the population proportion committing aggressive acts by p1 for the lower level of TV watching and by p2 for the higher level of TV watching. Compare the proportions of the two
groups and make a decision about the null hypothesis using a significance level of 0.05.
Transcribed Image Text:A study considered whether greater levels of television watching by teenagers were associated with a greater likelihood of aggressive behavior. The researchers randomly sampled 707 familie in two counties in northern New York state and made follow-up observations over 17 years. Table 10.3 shows results about whether a sampled teenager later conducted any aggressive act against another person, according to a self-report by that person or by his or her parent. The bar chart in the margin figure summarizes the results. Table 10.3 TV Watching by Teenagers and Later Aggressive Acts Aggressive Act No TV Watching Less than 1 hour per day At least 1 hour per day Yes 5 154 83 465 Total 88 619 We'll identify Group 1 as those who watched less than 1 hour of TV per day, on average, as teenagers. Group 2 consists of those who averaged at least 1 hour of TV per day, as teenagers. Denote the population proportion committing aggressive acts by p1 for the lower level of TV watching and by p2 for the higher level of TV watching. Compare the proportions of the two groups and make a decision about the null hypothesis using a significance level of 0.05.
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