Critical region and critical values

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• Statistics : Critical Region and Null Hypotheses

  39298 Statistics : Critical Region and Null Hypotheses The critical region or rejection region is the set of all values of the test statistic that causes what to the null hypothesis?

• Steps in Hypothesis testing for critical region and critical values

  416626 Steps in Hypothesis testing for critical region and critical values 12.

• Extreme values

  Therefore, on the region , has maximum at and minimum at This provides examples of finding extreme values of a function on a set.

• Chi-square Distribution: Finding Test Components

  - at alpha=0.01 with degrees of freedom as 26-2=24, the critical region is x^2>45.5585 or x^2<9.8862. Since 12.96 is not within critical region, we fail to reject Ho.

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  c) By computing the values of A at the critical points and its behavior on the boundary of the region where it is defined, find the maximum and the minimum of A (could you please justify your answer).

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  What is the critical valueZo(or critical values +over_Zo)? c. Sketch the critical region and show the critical value (or critical values). d.

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  Ho: m< or equal 32 and Ha:m> 32, alpha =0.01 The critical values are +2.326. So, the critical region is {z|z>2.326} c. Ho: m > or equal 13 and Ha:m< 13, alpha = 0.05 The critical values are -1.645.

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  These softwares will be able to produce outputs that will give you the test statistic and the critical values (or the p-values if you are using the p-value approach). This will be slightly different from programs to programs. 4.

• Whether a problem is a one sided test or a two sided test

  Case 2: If the alternative hypothesis is then the critical region takes the form and if the alternative hypothesis is then the critical region takes the form . Thus the critical region lies in one side of the sampling distribution.