Accept or reject null hypothesis




















This kind of error is called a type I error false positive and is sometimes called an error of the first kind. A p — value less than 0. Therefore, we reject the null hypothesis , and accept the alternative hypothesis. A P value greater than 0.

The rule for the proper formulation of a hypothesis test is that the alternative or research hypothesis is the statement that, if true, is strongly supported by the evidence furnished by the data. The null hypothesis is generally the complement of the alternative hypothesis. Null hypothesis are never accepted. We either reject them or fail to reject them. However, the data may also be consistent with differences of practical importance. And, if the P-value is greater than , then the null hypothesis is not rejected.

The smaller the p-value, the stronger the evidence that you should reject the null hypothesis. A p-value less than 0. A p-value higher than 0. It is the probability of observing a result Fcritical as big as the one which is obtained in the experiment F0 , assuming the null hypothesis is true.

Low p-values are indications of strong evidence against the null hypothesis. The F critical value is a specific value you compare your f-value to. In general, if your calculated F value in a test is larger than your F critical value, you can reject the null hypothesis.

However, the statistic is only one measure of significance in an F Test. The F ratio is the ratio of two mean square values.

If the null hypothesis is true, you expect F to have a value close to 1. But for a positive??? Because this is a two-tail test, the region of rejection is not only the??? Whether or not you should reject??? In that case,. So we would have rejected the null hypothesis for both one-tailed tests, but we would have failed to reject the null in the two-tailed test.

The significance or statistical significance of a test is the probability of obtaining your result by chance. The less likely it is that we obtained a result by chance, the more significant our results. The smaller the??? In other words, an alpha level of???

But a stricter alpha level of??? Otherwise, we fail to reject the null. The p-value and rejecting the null for one- and two-tail tests. What is the p-value?



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