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Q: When should you retain a null hypothesis?
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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.


What does a p value of 0.66 tell us?

A p-value is the probability of obtaining a test statistic as extreme or more extreme than the one actually obtained if the null hypothesis were true. If this p-value is less than the level of significance (usually set by the experimenter as .05 or .01), we reject the null hypothesis. Otherwise, we retain the null hypothesis. Therefore, a p-value of 0.66 tell us not to reject the null hypothesis.


Differences between null and alternative hypothesis?

The difference between the null hypothesis and the alternative hypothesis are on the sense of the tests. In statistical inference, the null hypothesis should be in a positive sense such in a sense, you are testing a hypothesis you are probably sure of. In other words, the null hypothesis must be the hypothesis you are almost sure of. Just an important note, that when you are doing a tests, you are testing if a certain event probably occurs at certain level of significance. The alternative hypothesis is the opposite one.


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 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...

Related questions

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)


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.


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 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 the null hypothesis is greater than 0.005?

Then the null hypothesis is greater than 0.005! So what?Then the null hypothesis is greater than 0.005! So what?Then the null hypothesis is greater than 0.005! So what?Then the null hypothesis is greater than 0.005! So what?


What does a p value of 0.66 tell us?

A p-value is the probability of obtaining a test statistic as extreme or more extreme than the one actually obtained if the null hypothesis were true. If this p-value is less than the level of significance (usually set by the experimenter as .05 or .01), we reject the null hypothesis. Otherwise, we retain the null hypothesis. Therefore, a p-value of 0.66 tell us not to reject the null hypothesis.


Explain what is meant by null hypothesis?

The null hypothesis is an hypothesis about some population parameter. The goal of hypothesis testing is to check the viability of the null hypothesis in the light of experimental data. Based on the data, the null hypothesis either will or will not be rejected as a viable possibility.


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.


Differences between null and alternative hypothesis?

The difference between the null hypothesis and the alternative hypothesis are on the sense of the tests. In statistical inference, the null hypothesis should be in a positive sense such in a sense, you are testing a hypothesis you are probably sure of. In other words, the null hypothesis must be the hypothesis you are almost sure of. Just an important note, that when you are doing a tests, you are testing if a certain event probably occurs at certain level of significance. The alternative hypothesis is the opposite one.


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