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The null hypothesis cannot be accepted. Statistical tests only check whether differences in means are probably due to chance differences in sampling (the reason variance is so important). So if the p-value obtained by the data is larger than the significance level against which you are testing, we only fail to reject the null. If the p-value is lower than the significance level, the null hypothesis is rejected in favor of the alternative hypothesis.

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Q: When should you accept a null hypothesis?
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What causes hypothesis to be rejected?

We have two types of hypothesis i.e., Null Hypothesis and Alternative Hypothesis. we take null hypothesis as the same statement given in the problem. Alternative hypothesis is the statement that is complementary to null hypothesis. When our calculated value is less than the tabulated value, we accept null hypothesis otherwise we reject null hypothesis.


How is z score and p value related?

The z-score is a statistical test of significance to help you determine if you should accept or reject the null-hypothesis; whereas the p-value gives you the probability that you were wrong to reject the null-hypothesis. (The null-hypothesis proposes that NO statistical significance exists in a set of observations).


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.


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)


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.

Related questions

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.


When you accept the Null Hypothesis you are certain that the Null Hypothesis is correct?

No, you are never certain.


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


What causes hypothesis to be rejected?

We have two types of hypothesis i.e., Null Hypothesis and Alternative Hypothesis. we take null hypothesis as the same statement given in the problem. Alternative hypothesis is the statement that is complementary to null hypothesis. When our calculated value is less than the tabulated value, we accept null hypothesis otherwise we reject null hypothesis.


When do you accept a hypothesis?

You accept an alternative hypothesis when the p-value is greater than the sample a for a confidence level of 95%. The null hypothesis cannot be accepted.


How is z score and p value related?

The z-score is a statistical test of significance to help you determine if you should accept or reject the null-hypothesis; whereas the p-value gives you the probability that you were wrong to reject the null-hypothesis. (The null-hypothesis proposes that NO statistical significance exists in a set of observations).


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.


In what cases one can state the null hypotheses true?

There is no truth in science. Truth is only meaningful in math, philosophy, religion and logic. A hypothesis can never be true. You either accept or reject a hypothesis. You accept the null hypothesis if you fail to reject it.


What is test statistic?

This is used in statistic to know whether to accept or reject a null hypothesis or alternative hypothesis


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.