In a court trial, the null hypothesis is that the defendant is innocent. What is a Type I error in this context?
Question 2
A school principal tests $H_0: p = 0.20$ versus $H_a: p > 0.20$, where $p$ is the proportion of students who prefer online homework. What is a Type II error?
Question 3
A medical test uses $H_0$: the patient does not have the disease and $H_a$: the patient has the disease. Which situation describes a Type I error?
Question 4
A company tests whether the proportion of defective items is $p = 0.05$ against $p > 0.05$. If the company fails to reject $H_0$ even though the true defect rate is $0.08$, what error has occurred?
Question 5
Which statement best describes the power of a significance test?
