Failing to reject a false null hypothesis.
A beta error is another term for a type II error, an instance of accepting the null hypothesis when the null hypothesis is false.
True because the point of the hypothesis test is to figure out the probability of the null hypothesis being true or false. If it is tested and it is true, then you do not reject but you reject it, when it is false.
Falling to reject (accepting) a false null hypothesis.
Be able to reject the null hypothesis and accept the research hypothesis
The probability of correctly detecting a false null hypothesis.
Failing to reject a false null hypothesis.
Probability of failing to reject a false null hypothesis.
A beta error is another term for a type II error, an instance of accepting the null hypothesis when the null hypothesis is false.
In hypothesis testing, this is the probability of failing to reject a false null hypothesis.
True because the point of the hypothesis test is to figure out the probability of the null hypothesis being true or false. If it is tested and it is true, then you do not reject but you reject it, when it is false.
In formal design and analysis of experiments there are but two types of hypotheses: null and alternative. And one might argue there really is only one because when the null is properly defined, the alternative is automatically properly defined. The null hypothesis is a testable statement of conjecture. The purpose of the null hypothesis is to set the measurable goal for the experiment that follows to show that the null is not false. If the results of the experiment do not show that then the alternative hypothesis is by definition not false. Simple Example: Null: It's raining outside. Alt: It's NOT raining outside. NOTE: The NOT reverses the logic of the null. The experiment...walk outside. The test...if I get wet, the Null is not false. If I don't get wet, the alternative is not false. NOTE: I must have an experiment to test the hypothesis. Without a test it's not a valid hypothesis.
Falling to reject (accepting) a false null hypothesis.
Rejecting a true null hypothesis.
There are two types of errors associated with hypothesis testing. Type I error occurs when the null hypothesis is rejected when it is true. Type II error occurs when the null hypothesis is not rejected when it is false. H0 is referred to as the null hypothesis and Ha (or H1) is referred to as the alternative hypothesis.
If the type 1 error has a probability of 01 = 1, then you will always reject the null hypothesis (false positive) - even when the evidence is wholly consistent with the null hypothesis.
I believe you have to design a null hypothesis that is very precise in order to avoid false positives ( rejecting the null hypothesis when it is actually true). Tricky question though!