MATH 10041 Chapter Notes - Chapter 8 .3: Type I And Type Ii Errors, Normal Distribution

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Extreme value means something unusual has happened. Cannot use normal curve if the sample size is too small and/or if not randomly selected. We cannot make the significance level so super small (ex. 0 = 0%) because that increases the probability that we will mistakenly fail to reject the null. Ex. if the probability of convicting an innocent man is 0%, everyone goes free. But that means freeing a guilty person is 100% Statistically significant findings do not necessarily mean the results are useful. Fail to reject the null that you should actually reject. Don"t say you proved something --- say you demonstrated or solved .