Question: Paraphrase as a scientis larger sample sizes yield more dependable estimates of population parameters and enhance the ability to detect actual effects. However, a total
Paraphrase as a scientis larger sample sizes yield more dependable estimates of population parameters and enhance the ability to detect actual effects. However, a total sample size of n=77 is considered relatively small for a study examining differences among various groups, particularly when analyzing three distinct racial categories. Potential Impact on Results: The limited sample sizes, especially for the African American and Hispanic groups, may hinder the statistical power necessary to identify significant differences. Conducting a power analysis would be beneficial in determining whether the existing sample sizes are adequate to observe an effect, should one be present. Summary of Findings: In summary, the ANOVA results reveal that there are no statistically significant differences in educational attainment among the racial groups at the 0.05 alpha level. Nonetheless, there are observable differences in the average years of education among the groups. The smaller sample size, particularly for the minority groups, likely played a role in the lack of statistical significance, leading to reduced confidence in the meaning of the differences observed. Future research should focus on increasing the sample size and striving for a more balanced representation of the various racial groups, while also considering the calculation of effect sizes to evaluate the practical significance of the variations in educational attainment among these diverse racial categories. Recommendations
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