STAT 302 502 Week 11 11 4 P type I error P type II error as decreases increases as decreases increases and are inversely related P reject H0 H0 is true P Type I error P fail to reject H0 H0 is false P Type II error power of test probability of getting a sample that will result in you rejecting H0 at a given significance level probability of a correct decision the higher the power the better P reject H0 H0 is false 1 as decreases increases and Power decreases P type I error decreases P type II error increases power to make correct decision decreases to reduce you want to shift the distribution over so that p0 p gets larger increase sample size n variability decreases spread becomes narrower overlapped parts of two sampling models are reduced and are reduced power of test is increased If increases power increases If increases power decreases If n increases power increases If the effect size increases power increases if p and your p value was super small then these results are very significant the smaller our significance level is the stronger the evidence must be to reject the null hypothesis if your sample mean is close to the mean in this distribution then it wasn t that extreme of a value and we fail to reject H 0 bc it s very rare for the value to occur if your sample mean is far from the mean then we reject H 0
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