Does the critical region have to be larger than the obtained statistic or vise versa? My...
Does the critical region have to be larger than the obtained statistic or vise versa? My teacher gave us a trick question and it's making myself question everything I learned in Stats.
Homework Answers
Answer
There is only one rule for critical region rejection rule
If we have left tailed hypothesis, then the calculated test statistics must be less than critical value in order to reject the null hypothesis. If calculated test statistics is not less than critical value, then we fail to reject the null hypothesis
If we have right tailed hypothesis, then the calculated test statistics must be more than critical value in order to reject the null hypothesis. If calculated test statistics is not more than critical value, then we fail to reject the null hypothesis
and for two tailed hypothesis, we combine both the area, i.e. calculated test statistics must be outside the range of negative critical value to positive critical value. If calculated test statistics is within the negative critical value and positive critical value, then we fail to reject the null hypothesis
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