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Q: What if I reject the null hypothesis and shouldn't have?
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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.


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.


Is the critical region the values of the test statistics for which the null hypothesis will reject?

The null hypothesis will not reject - it is a hypothesis and is not capable of rejecting anything. The critical region consists of the values of the test statistic where YOU will reject the null hypothesis in favour of the expressed alternative hypothesis.


In stats do you reject the null or failed to reject the null 0.5 and 0.45?

At a probability of 0.5 you cannot reject the null hypothesis!


Would I accept or reject the null hypothesis if the probability of the obtained statistic is 0.001 and alpha is 0.05?

You should reject the null hypothesis.


What is power function in statistics?

In statistics, we have to test the hypothesis i.e., null hypothesis and alternative hypothesis. In testing, most of the time we reject the null hypothesis, then using this power function result, then tell what is the probability to reject null hypothesis...


What does the researcher hope to do with null hypothesis the opposite of the research hypothesis?

Be able to reject the null hypothesis and accept the research hypothesis


What does the researcher hope to do with the null hypothesis (the opposite of the research hypothesis)?

Be able to reject the null hypothesis and accept the research hypothesis


What does the researcher hope to do with the null hypothesis (the opposite of the research hypothesis)?

Be able to reject the null hypothesis and accept the research hypothesis


Can you not reject null hypothesis?

you do not need to reject a null hypothesis. If you don not that means "we retain the null hypothesis." we retain the null hypothesis when the p-value is large but you have to compare the p-values with alpha levels of .01,.1, and .05 (most common alpha levels). If p-value is above alpha levels then we fail to reject the null hypothesis. retaining the null hypothesis means that we have evidence that something is going to occur (depending on the question)


When you reject the null hypothesis?

You reject the null hypothesis if the probability of the observed outcome, calculated under the null hypothesis, is smaller than some preset level. Commonly used levels are 10%, 5%, 1% or 0.1%.


Can you accept and reject the null Hypothesis Why or why not?

Some people say you can either accept the null hypothesis or reject it. However, there are statisticians that insist you can either reject it or fail to reject it, but you can't accept it because then you're saying it's true. If you fail to reject it, you're only claiming that the data wasn't strong enough to convince you to choose the alternative hypothesis over the null hypothesis.