Levels of significance - rejection and acceptance regions, Mathematics

Levels of significance

A level of significance is a probability value which is utilized when conducting tests of hypothesis. A level of significance is mostly the probability of one making an incorrect decision after the statistical testing has been done. Generally such probability utilized is extremely small for illustration, 1 percent or 5 percent

                               1713_Levels of significance.png

NB: If the standardized value of the mean is less than -1.65 we reject/refuse the null hypothesis (H0) and accept the alternative Hypothesis (H1) however if the standardized value of the mean is more than -1.65 we accept/allow the null hypothesis and reject/refuse the alternative hypothesis.

The above drawing of graph and level of significance are applicable while the sample mean is < or like that is less than the population mean,The given is utilized when sample mean > population mean

 

                                       2119_Levels of significance 1.png

 

NB: If the samples mean standardized value < 1.65, we accept the null hypothesis however reject the alternative. If the sample means value > 1.65 we reject/refuse the null hypothesis and accept the alternative hypothesis .The above drawing is normally utilized when the sample mean described is greater than the population mean

NB: if the standardized value of the sample mean is with -2.58 and +2.58 accept the null hypothesis otherwise reject it and then accept the alternative hypothesis

Posted Date: 2/19/2013 1:14:51 AM | Location : United States







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