If a hypothesis test leads to the rejection of the null hypothesis, a Type II error must have been committed a Type II error may have been committed a Type I error must have been committed a Type I error may have been committed
Question
If a hypothesis test leads to the rejection of the null hypothesis, a Type II error must have been committed a Type II error may have been committed a Type I error must have been committed a Type I error may have been committed
Solution
If a hypothesis test leads to the rejection of the null hypothesis, a Type I error may have been committed.
Here's why:
In hypothesis testing, a Type I error is the rejection of a true null hypothesis (also known as a "false positive"), while a Type II error is failing to reject a false null hypothesis (also known as a "false negative").
So, when we reject the null hypothesis, we might be making a Type I error (assuming that the null hypothesis is actually true). However, we can't be making a Type II error in this case, because Type II errors occur when we fail to reject the null hypothesis.
Similar Questions
In hypothesis testing if the null hypothesis has been rejected when the alternative hypothesis has been true..Group of answer choicesthe correct decision has been madea Type I error has been committeda Type II error has been committedeither a Type I or Type II error has been committed
A Type II error is committed whenQuestion 2Select one:a.not enough information has been availableb.a true alternative hypothesis is mistakenly rejectedc.a true null hypothesis is mistakenly rejectedd.the sample size has been too small
16. When is a Type I error committed?*A. We reject a null hypothesis that is false.B. We reject a null hypothesis that is true.C. We fail to reject a null hypothesis that is true.D. We fail to reject a null hypothesis that is false.
In hypothesis testing, a Type 2 error occurs whenQuestion 12Answera.The null hypothesis is rejected when the null hypothesis is true.b.The null hypothesis is not rejected when the null hypothesis is true.c.The null hypothesis is rejected when the alternative hypothesis is true.d.The null hypothesis is not rejected when the alternative hypothesis is true.
The error of rejecting a true null hypothesis is ____.Group of answer choicesa Type I errora Type II erroreither type I and Type II error, depending on the situationcommitted when not enough information is available
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.