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When we state that the data analysis suggests that we "Reject the null hypothesis" we are stating that the sample statistic is sufficiently different from our assumed value of the population that it is unlikely to be explained by chance. If we use for example, that under the null hypothesis that engineers make on the average $120,000 per year. If we consider that the test statistic (size n) is normally distributed, we can use a two-tail test with an level of significance "alpha" to identify the lower and upper rejection zones on the normal distributon. If the test statistic falls in the non-rejection zone, we state that the "null hypothesis is not rejected." There are many good websites on hypothesis testing. Wikipedia provides a good summary of controversy on hypothesis testing. I note that some of the controversy stems from the idea that hypothesis testing will prove or validate population parameters, which is really beyond the scope of hypothesis testing theory. http://en.wikipedia.org/wiki/Statistical_hypothesis_testing A second way to determine whether the null hypotheis is to calculate p-values. For this, please see: http://en.wikipedia.org/wiki/P-value
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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
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%.
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 does the researcher hope to do with the null hypothesis?
be able to reject
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.
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!
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%.
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).
