Single Sample t Test

Play to Learn

Goal(s):      

1. Learn about the Hypothesis Testing Decision Matrix; successfully apply the Hypothesis Decision Rule (reject the null hypothesis when p ≤ alpha level) and recognize the potential for Type One and Type Two Errors (even when decisions are made correctly).

2.  Discuss the relationship between the t test value, p value,  and the number of standard errors between the sample mean and the population mean (specified by the null hypothesis).

3.  Describe the three factors that affect the t test value, and their impact on the correct rejection of the null hypothesis: the difference between the means, the sample size, and the sample variance.

4. Interpret the output of statistical apps (SPSS, SAS, R, JASP, or Stata) or solve the problem by hand, and use the information to write up an APA style report.

5. Critically evaluate APA style reports (t test, p value, and graphs), recognizing errors in analysis.

6. Explore the statistical power (1 - β) and effect size demonstration

How: The app provides three guided and interactive tours (The Hypothesis Decision Rule and Matrix, The t Test, and Communicating Results APA Style). This is followed by an interactive 'Test Your Understanding', which supports unlimited attempts and provides immediate feedback. At any time, switch to the 'Scenario Controls (Self-Exploration)' to further explore the interaction between the p-value and factors such as sample size and effect size, and see what it looks like in terms of the data, graphs, analysis, and APA style write-up. 

Site: P2L.io