Week 6 Short-Answer Questions

What is the difference between the null hypothesis and the alternative hypothesis in hypothesis testing? *

Explain what a p-value represents in the context of hypothesis testing. *

Describe what a Type I error is and provide an example of when it might occur in hypothesis testing. *

What does it mean if the p-value is smaller than the significance level (α)? *

What is a Type II error, and how does it differ from a Type I error? *

Why is it important to set a significance level (α) before conducting a hypothesis test? *

What is the role of the test statistic in hypothesis testing, and how does it help in deciding whether to reject or fail to reject the null hypothesis? *