Independent Samples T-Test

Table 1. 

Education Level Mean T-Statistic 
Less than College 7.259259 0.33735 
College and Above 7.027778  
Note. p<0.05*, p<0.01**, p<0.001***; N = 66 

The independent variable is the parent’s level of education. The original categories were as follows: “Some high school”, “High school diploma or GED”, “Certification from a trade or vocational school”, “Some college”, “Associate’s degree”, “Bachelor’s degree”, and “Graduate degree or more”. The categories have been re-coded into the two groups “Less than College” and “College and Above”. The categories from “Certification from trade or vocational school” and before were grouped into “Less than College”. The categories from “Some college” and after were grouped into “College and Above”. The dependent variable is engagement to the activity measured on a scale of 0 to 10. 0 means there was no engagement at all, whereas 10 means there was a great amount of engagement.  

Within this sample, the mean for “Less than College” (x̄ = 7.259259) is greater than the mean for “College and Above” (x̄ = 7.027778). Based on the means, it appears as though there is a difference between the two re-coded groups. However, it may not be generalizable to the population, and therefore a T-test must be performed to determine if there is a significant difference between the means. The p-value equals 0.7372 (t = 0.33735). At α = 0.05, p is not less than 0.05. It can be concluded that there is no significant difference between the means at p<0.05; the null hypothesis is retained.