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In statistics, a null hypothesis is the hypothesis which you wish to test against some alternative. Often, it is framed in a way that is the opposite of what you wish to prove. You then collect the data and, if the resulting test statistic is such that observations which are at least as extreme as the one realised is very unlikely under the null hypothesis, then it is rejected and the alternative accepted.
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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.
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.
The null hypothesis for an anova states that?
The null hypothesis for a 1-way ANOVA is that the means of each subset of data are the same.
