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Q: P-value if the null hypothesis is true?
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If we reject the null hypothesis what can we conclude about the alpha risk?

If we reject the null hypothesis, we conclude that the alternative hypothesis which is the alpha risk is true. The null hypothesis is used in statistics.


What is Hypothesis Testing of Type I Error?

Rejecting a true null hypothesis.


If the null hypothesis is true and the researchers do not reject it then a correct decision has been made?

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.


What is an alpha error?

An alpha error is another name in statistics for a type I error, rejecting the null hypothesis when the null hypothesis is true.


How would you determine the expected frequencies for a chi-square goodness of fit test?

You first decide on a null hypothesis. Expected frequencies are calculated on the basis of the null hypothesis, that is, assuming that the null hypothesis is true.


What is the mean of a null hypothesis being rejected?

the hypothesis might be correct* * * * *The available evidence suggests that the observations were less likely to have been obtained from random variables that were distributed according to the null hypothesis than under the alternative hypothesis against which the null was tested.


What null hypothsis?

It is the hypothesis that is presumed true until statistical evidence in the form of a hypothesis test proves it is not true.


What is null hypothsis?

It is the hypothesis that is presumed true until statistical evidence in the form of a hypothesis test proves it is not true.


How is the null hypothesis used in hypothesis testing?

Statistical tests compare the observed (or more extreme) values against what would be expected if the null hypothesis were true. If the probability of the observation is high you would retain the null hypothesis, if the probability is low you reject the null hypothesis. The thresholds for high or low probability are usually set arbitrarily at 5%, 1% etc. Strictly speaking, when rejecting the null hypothesis, you do not accept the alternative hypothesis because it is possible that neither are true and it is the model itself that is wrong.


If a test of hypothesis has a type I error probability of 0.01 it means?

It means that, if the null hypothesis is true, there is still a 1% chance that the outcome is so extreme that the null hypothesis is rejected.


Difference between acceptance and rejection region?

Some researchers say that a hypothesis test can have one of two outcomes: you accept the null hypothesis or you reject the null hypothesis. Many statisticians, however, take issue with the notion of "accepting the null hypothesis." Instead, they say: you reject the null hypothesis or you fail to reject the null hypothesis. Why the distinction between "acceptance" and "failure to reject?" Acceptance implies that the null hypothesis is true. Failure to reject implies that the data are not sufficiently persuasive for us to prefer the alternative hypothesis over the null hypothesis.


Reject or accept null hypothesis F-test?

F-test results will determine if the null hypothesis will be rejected or accepted. All test are ran with the assumption that the null hypothesis is true.