26. Table of descriptive statistics on diabetes initiative participants. Which characteristic significantly differs at 5% level?

Answer: C

Explanation:

Mean age significantly differs at 5% level

The characteristic that significantly differs at the 5% level among diabetes initiative participants is the mean age. This indicates that there is a statistically significant difference in the average age of participants when compared to other characteristics.

A) Mean BMI

Mean BMI is not identified as significantly differing at the 5% level in this context. While it may show variation among participants, the statistical analysis does not support a significant difference, which is crucial for determining its relevance.

B) Mean annual income

Mean annual income does not demonstrate a significant difference at the 5% level. This suggests that the income levels of participants are relatively consistent and do not vary enough to be statistically significant in this study.

C) Mean age

Mean age is the characteristic that significantly differs at the 5% level. This indicates a notable variation in age among the participants, which could have important implications for understanding the demographics and potential health outcomes related to diabetes.

D) Mean educational level

Mean educational level does not show a significant difference at the 5% level. Similar to the other options, this implies that the educational backgrounds of the participants are comparatively stable and not a distinguishing factor in this analysis.

Conclusion

The mean age is the only characteristic that significantly differs at the 5% level, highlighting its importance in the context of diabetes initiative participants. In contrast, mean BMI, mean annual income, and mean educational level do not exhibit statistically significant differences, indicating that they may not play as critical a role in this specific analysis.