To use the tool to identify the z-score boundaries, click on the icon with two orange lines, and slide the orange lines until the area in the critical region equals the alpha level. Remember that the probability will need to be split between the two tails. To use the tool to help you evaluate the hypothesis, click on the icon with the purple line, place the two orange lines on the critical values, and then place the purple line on the z statistic. Standard Normal Distribution Sanderd Devaton 10 5000 2500 200 -0.67 0.67 The critical region is The 2-score boundaries for an alpha level a = 0.001 are: O z= 1.96 and z = -1.96 Oz= 2.58 and z-2.58 O2 = 3.29 and 2= -3.29 Suppose that the calculated z statistic for a particular hypothesis test is 2.64 and the alpha is 0.001. This z statistic is the critical region. Therefore, the researcher reject the null hypothesis, and he conclude the alternative hypothesis is probably correct.

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