STAT 100 Lecture Notes - Lecture 15: Null Hypothesis, Test Statistic, Statistical Hypothesis Testing

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Hypothesis testing about the mean when sigma is known (the classical. The 6 step process using the classical approach. Complete the 6 steps to the hypothesis test: state the null and alternative hypothesis (from this you can describe the null hypothesis. Distribution: state the signi cance level (what is the for this problem, will be given to you. The maximum number of standard deviations the sample mean can be from 0 before the null hypothesis is rejected. For a right tailed test, zc, p (z > zc) = . For a left tailed test, zc, p (z < zc) = . For a two tailed test, there are two critical values, -zc and zc, where p (z < -zc) = /2 and p (z. Compare the critical value, zc to the test statistic. For a right tailed test, if z0 > zc, reject the null hypothesis. For a left tailed test, if z0 < zc, reject the null hypothesis.

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