a. Does this sample provide enough evidence to con- clude that self-esteem scores for these adolescents are significantly different from those of the general population? Use a two-tailed test with a b. Compute Cohen's d to measure the size of the difference. .05. c. Write a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear in a research report

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Title: Statistical Analysis of Self-Esteem in Group-Participation Adolescents

**Sample Analysis:**
A sample of group-participation adolescents was studied and found to have an average self-esteem score of \( M = 53.8 \).

### Key Questions:

**a. Hypothesis Testing:**
- **Objective:** Determine if the self-esteem scores for these adolescents are significantly different from those of the general population.
- **Method:** Conduct a two-tailed test with a significance level (\( \alpha \)) of 0.05.

**b. Measuring Effect Size:**
- **Objective:** Calculate Cohen’s \( d \) to quantify the size of the difference in self-esteem scores.

**c. Research Reporting:**
- **Objective:** Articulate a sentence summarizing the outcome of the hypothesis test and the measure of effect size as it would appear in a research report.

These steps are crucial to understanding the statistical significance and practical implications of differences observed in psychological research on adolescent self-esteem.
Transcribed Image Text:Title: Statistical Analysis of Self-Esteem in Group-Participation Adolescents **Sample Analysis:** A sample of group-participation adolescents was studied and found to have an average self-esteem score of \( M = 53.8 \). ### Key Questions: **a. Hypothesis Testing:** - **Objective:** Determine if the self-esteem scores for these adolescents are significantly different from those of the general population. - **Method:** Conduct a two-tailed test with a significance level (\( \alpha \)) of 0.05. **b. Measuring Effect Size:** - **Objective:** Calculate Cohen’s \( d \) to quantify the size of the difference in self-esteem scores. **c. Research Reporting:** - **Objective:** Articulate a sentence summarizing the outcome of the hypothesis test and the measure of effect size as it would appear in a research report. These steps are crucial to understanding the statistical significance and practical implications of differences observed in psychological research on adolescent self-esteem.
**Childhood Participation in Activities and Self-Esteem**

Research indicates that childhood involvement in sports, cultural groups, and youth programs is associated with higher self-esteem in adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006). In a representative study, a sample of 100 adolescents with a history of participating in group activities completed a standardized self-esteem questionnaire. 

In the general adolescent population, the scores from this questionnaire form a normal distribution with a mean (μ) of 50 and a standard deviation (σ) of 15.
Transcribed Image Text:**Childhood Participation in Activities and Self-Esteem** Research indicates that childhood involvement in sports, cultural groups, and youth programs is associated with higher self-esteem in adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006). In a representative study, a sample of 100 adolescents with a history of participating in group activities completed a standardized self-esteem questionnaire. In the general adolescent population, the scores from this questionnaire form a normal distribution with a mean (μ) of 50 and a standard deviation (σ) of 15.
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