Hypothesis Testing - Type I and Type II Errors

This app helps students understand Type I and Type II errors in hypothesis testing for a mean by allowing them to manipulate parameters such as sample size, significance level, and population means. Through interactive controls, students can set and visualize the effects of these changes on the probabilities of committing Type I and Type II errors, using dynamically generated graphs.

Type I and Type II Errors in Hypothesis Testing

Select a test and enter the sample statistics to perform a hypothesis test.

Test Parameters:

Choose the type of hypothesis test you want to perform:

Choose a null hypothesis \( \ H_o \ \) and significance level: \(\ \alpha \ .\)

\( H_o: \ \mu_o = \ \)
3.50     
\( \alpha = \ \)
0.05     

Sample statistics:

Set sample size, mean, and standard deviation:

\( \ n = \ \)
40     
\( \ x̄ = \ \)
5.00     

For Type II error, we consider a situation where the sample mean is the true mean of the population.

\( \ s = \ \)
5.00     

Please select a test

μₒ = 3.50࠘𝑥 = 5.00