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Jun
Probability Of Rejecting The Null Hypothesis. The level of significance is the probability of rejecting the null hypothesis when it is actually true. 1 minus the P value is the probability that the alternative hypothesis is true. A significance level of 005 is most common this says that youre okay with rejecting the null hypothesis if there is less than a 5 chance that the result I am seeing are actually due to randomness. Probability of rejecting the null hypothesis when it is true probability of failing to reject the null hypothesis when it is not true d.
If no level of significance is given use alpha 005. Remember that in a one-tailed test the regi. Power is the probability of making a correct decision to reject the null hypothesis when the null hypothesis is false. For example a significance level of 005 indicates a 5 risk of concluding that a difference exists when there is no actual difference. When the null hypothesis is rejected the effect is said to be statistically significant. So the probability of rejecting the null hypothesis when it is true is the probability that t tα which we saw above is α.
If no level of significance is given use alpha 005.
For this data the P-value is P X r 37 if p 03 P Z 37-100 03 100 03 07 0062. In other words the probability of Type I error is α1 Rephrasing using the definition of Type I error. Below this probability a Null Hypothesis is rejected. We reject it because at a significance level of 003 ie less than a 5 chance the result we obtained could happen too. You can also think about the p-value as the total area of the region of rejection. The steps for the solution.