Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

help. Attempts: Average: /7 4. Alpha level and the critical region ability or le

ID: 3370696 • Letter: H

Question

help.

Attempts: Average: /7 4. Alpha level and the critical region ability or less that she rejects the when a researcher sets ?-.05, she is willing to accept a null hypothesis when it is actually true. 5% 50% one-fifth of 1% Use the following Distributions tool to identify the boundaries that separate the extreme samples from the samp that the critical region is split across both tails of the distribution. The z-score boundaries at an alpha level a .05 are: es ously consistent with the null hypothesis. Assume the null hypothesis is nondirectional, meaning O z -1.96 and -1.96 O z 3.29 and z -3.29 O z 2.58 and z 2.58 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 vormal Distribution Mean -0.0 Standard Deviation 1.0 5000 2500 -3 The critical region is The 2-score boundaries for an alpha level a .001 are O z 2.58 and z 2.58 O z -3.29 and z-3.29 O z 1.96 and Z--196 e that the calculated z statistic for a particular hypothesis test is 2 64 and the alpha is.001. This z statistic is the critical region. Therefore, the researcher conclude the aiternative hypothesis is probably correct reject the null hypothesis, and she

Explanation / Answer

Ans:

when alpha is 0.05,we are willing to accept a 5% probability or less that she rejects the null hypothesis when it is actually true.

Z scre boundaries at alpha=0.05 are

z=-1.96 and z=+1.96

critical region is:

z<-1.96 or z>1.96

when alpha=0.001,z score boundaries are:

z=-3.29 and z=3.29

critical region:z<-3.29 or z>3.29

When z-statistic is 2.64,so it is outside the critical region.Therefore,the researcher fail to reject the null hypothesis and she can not conclude the alternative hypothesis is probabiliy correct.