In hypothesis testing, if the null hypothesis has beenrejected when the alternat

Question

In hypothesis testing, if the null hypothesis has beenrejected when the alternative hypothesis has been true..... a) a Type I error hasbeen committed b) a Type II error has been committed c) either a Type I or Type II error has been committed d) the correct decision has been made Correct? In hypothesis testing, if the null hypothesis has beenrejected when the alternative hypothesis has been true..... a) a Type I error hasbeen committed b) a Type II error has been committed c) either a Type I or Type II error has been committed d) the correct decision has been made Correct?

Explanation / Answer

Type I error- In a hypothesis test, a type I erroroccurs when the null hypothesis is rejected when it is in facttrue; that is, H0 is wrongly rejected : Type II error-In a hypothesis test, a type II error occurswhen the null hypothesis H0, is not rejectedwhen it is in fact false : in our case The null hypothesis has been rejected because thealt hypoth is true : the answer is d) the correctdecision has been made

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