Uploaded March 2026 | Updated September 2026, 2 hours ago
In this full lecture-style video I work through two real-world examples of hypothesis tests for a single mean. The first example uses a fixed significance level approach; I then discuss why that is often not the ideal way to report results, motivating a transition to reporting and interpreting p-values directly. Between the examples I discuss the behaviour of the p-value under the null and alternative hypotheses and give rough guidelines for interpreting the strength of evidence for various p-value ranges.
The second example illustrates drawing conclusions without a fixed significance level. In both examples I also discuss the relationship between the hypothesis test and the 95% confidence interval.
The examples use real data: a study on melatonin onset delay caused by blue light exposure through closed eyelids, and sodium content in fast food chicken nuggets. References below.
Students in my STAT*2040 course at the University of Guelph have the accompanying lecture materials. I will make these freely available soon.
In my previous video I introduced rejection regions and p-values. Links to all lecture-style hypothesis testing videos for this chapter are below.
References:
Figueiro et al. (2013). A train of blue light pulses delivered through closed eyelids
suppresses melatonin and phase shifts the human circadian system. Nature and
Science of Sleep, 5:133–141.
The chicken nugget example is based on sample data found in the USDA National Nutrient Database.
In this full lecture-style video I work through two real-world examples of hypothesis tests for a single mean. The first example uses a fixed significance level approach; I then discuss why that is often not the ideal way to report results, motivating a transition to reporting and interpreting p-values directly. Between the examples I discuss the behaviour of the p-value under the null and alternative hypotheses and give rough guidelines for interpreting the strength of evidence for various p-value ranges.
The second example illustrates drawing conclusions without a fixed significance level. In both examples I also discuss the relationship between the hypothesis test and the 95% confidence interval.
The examples use real data: a study on melatonin onset delay caused by blue light exposure through closed eyelids, and sodium content in fast food chicken nuggets. References below.
Students in my STAT*2040 course at the University of Guelph have the accompanying lecture materials. I will make these freely available soon.
In my previous video I introduced rejection regions and p-values. Links to all lecture-style hypothesis testing videos for this chapter are below.
References:
Figueiro et al. (2013). A train of blue light pulses delivered through closed eyelids
suppresses melatonin and phase shifts the human circadian system. Nature and
Science of Sleep, 5:133–141.
The chicken nugget example is based on sample data found in the USDA National Nutrient Database.
