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Statistics Glossary - hypothesis testing (2225 words) |
 | A hypothesis might also be a statement about the distributional form of a characteristic of interest, for example that the height of ten year old boys is normally distributed within the Scottish population. |
| If we do not reject the null hypothesis, it may still be false (a type II error) as the sample may not be big enough to identify the falseness of the null hypothesis (especially if the truth is very close to hypothesis). |
| The critical value(s) for a hypothesis test is a threshold to which the value of the test statistic in a sample is compared to determine whether or not the null hypothesis is rejected. |
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Null hypothesis - Wikipedia, the free encyclopedia (594 words) |
| It is a hypothesis that is presumed true until statistical evidence in the form of a hypothesis test indicates otherwise. |
| For example, if the null hypothesis is that sample A is drawn from a population with the same mean as sample B, the alternative hypothesis is that they come from populations with different means (and we shall proceed to a two-tailed test of significance). |
| However, accepting the alternative hypothesis only commits us to a difference in observed parameters; it does not prove that the theory or principles that predicted such a difference is true, since it is always possible that the difference could be due to additional factors not recognised by the theory. |
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