A public health official is uncertain if a popular intervention impacts the frequency of cyberbullying. The intervention was administered to a random sampie or 17 college students. Arter completion of the intervention, the college student sample was found to have an average cyberbullying frequency of 14. Cyberbullying in the population has an average of 18 and standard deviation of 8. What can be concluded with a = 0.10? a) What is the appropriate test statistic? ---Select--- b) Population: the nation Sample: current sample c) Obtain/compute the appropriate values to make a decision about Ho. Critical Value = ; Test Statistic = Decision: ---Select---

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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**Case Study: Evaluating the Impact of an Intervention on Cyberbullying Frequency**

A public health official is examining whether a popular intervention affects the frequency of cyberbullying. This intervention was applied to a random sample of 17 college students. Upon completion, the sample showed an average cyberbullying frequency of 14 incidents. Within the broader population, cyberbullying typically averages 18 incidents with a standard deviation of 8. This analysis examines what conclusions can be drawn at a significance level of α = 0.10.

### Steps for Analysis:

#### a) Identifying the Appropriate Test Statistic
- **Prompt:** Determine which statistical test is suitable for this scenario.
  
#### b) Define the Population
- **Population:** General nation
- **Sample:** Current sample (the 17 college students)

#### c) Computing Critical Values and Test Statistics
- **Prompt:** Calculate the critical value and test statistic necessary for decision-making regarding the null hypothesis \( H_0 \).
- **Inputs Required:** 
  - Critical Value = ________
  - Test Statistic = ________
  - Decision = ________ (Select from options)

#### d) Confidence Interval (CI) Calculation
- **Prompt:** Calculate the confidence interval if applicable. If not suitable, input "na."
- **CI Result:** [ na, na ]

#### e) Effect Size Calculation
- **Compute the Effect Size:** If not appropriate, input "na."
  - **Effect Size \( d = \):** ________ (Select magnitude)
  - **Effect Size \( r^2 = \):** ________ (Select magnitude)

#### f) Interpretation of Results
- **Options for Conclusion:**
  - The intervention significantly increased cyberbullying frequency.
  - The intervention significantly decreased cyberbullying frequency.
  - There was no significant change in the cyberbullying frequency.
  
**Submit your analysis and interpretations by selecting the appropriate options and completing the calculations.**

**Data Visualization:**
There are no graphs or diagrams to explain. 

**Tool Usage:**
Understanding how to effectively determine test statistics and interpret statistical outcomes is essential for assessing the intervention's impact on cyberbullying behaviors.
Transcribed Image Text:**Case Study: Evaluating the Impact of an Intervention on Cyberbullying Frequency** A public health official is examining whether a popular intervention affects the frequency of cyberbullying. This intervention was applied to a random sample of 17 college students. Upon completion, the sample showed an average cyberbullying frequency of 14 incidents. Within the broader population, cyberbullying typically averages 18 incidents with a standard deviation of 8. This analysis examines what conclusions can be drawn at a significance level of α = 0.10. ### Steps for Analysis: #### a) Identifying the Appropriate Test Statistic - **Prompt:** Determine which statistical test is suitable for this scenario. #### b) Define the Population - **Population:** General nation - **Sample:** Current sample (the 17 college students) #### c) Computing Critical Values and Test Statistics - **Prompt:** Calculate the critical value and test statistic necessary for decision-making regarding the null hypothesis \( H_0 \). - **Inputs Required:** - Critical Value = ________ - Test Statistic = ________ - Decision = ________ (Select from options) #### d) Confidence Interval (CI) Calculation - **Prompt:** Calculate the confidence interval if applicable. If not suitable, input "na." - **CI Result:** [ na, na ] #### e) Effect Size Calculation - **Compute the Effect Size:** If not appropriate, input "na." - **Effect Size \( d = \):** ________ (Select magnitude) - **Effect Size \( r^2 = \):** ________ (Select magnitude) #### f) Interpretation of Results - **Options for Conclusion:** - The intervention significantly increased cyberbullying frequency. - The intervention significantly decreased cyberbullying frequency. - There was no significant change in the cyberbullying frequency. **Submit your analysis and interpretations by selecting the appropriate options and completing the calculations.** **Data Visualization:** There are no graphs or diagrams to explain. **Tool Usage:** Understanding how to effectively determine test statistics and interpret statistical outcomes is essential for assessing the intervention's impact on cyberbullying behaviors.
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