Question

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

Mean = 0.0

Standard Deviation = 1.0

-4-3-2-101234z.2500.5000.2500-0.670.67

The critical region is   .

The z-score boundaries for an alpha level α = 0.01 are:

z = 2.58 and z = –2.58

z = 3.29 and z = –3.29

z = 1.96 and z = –1.96

Suppose that the calculated z statistic for a particular hypothesis test is 2.00 and the alpha is 0.01. This z statistic is   the critical region. Therefore, the researcher   reject the null hypothesis, and he    conclude the alternative hypothesis is probably correct.

Answer 1

The z score boundaries are -2. 58 to +2.58

Z statistics = 2

Z statistics ( 2 ) < Z critical ( 2.58 )

Therefore, we fail to reject H0 at 1% los.

Therefore, Alternative hypothesis is not correct.

See the rejection region in the above figure highlighted by red color, test statistics doesn't lie on that region.

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