Question

Calculate the​ p-value for the following conditions and determine whether or not to reject the null...

Calculate the​ p-value for the following conditions and determine whether or not to reject the null hypothesis.

​a)​ one-tail (upper)​ test, z Subscript p=2.86​, and alpha= 0.10

​b)​ one-tail (lower)​ test, z Subscript p= -0.74​, and alpha= 0.05

​c)​ two-tail test, z Subscript p=-1.93​, and alpha=0.05

​d)​ two-tail test, z Subscript p=1.13​, and alpha= 0.02

​a)​ p-value=

​(Round to four decimal places as​ needed.)

Determine whether or not to reject the null hypothesis. Choose the correct answer below.

A. Do not reject Upper H 0​, since the​ p-value is less than the significance level alpha

.B. Reject Upper H 0 ​, since the​ p-value is greater than or equal to the significance level alpha.

C.Do not reject Upper H 0 ​, since the​ p-value is greater than or equal to the significance level alpha.

D. Reject Upper H 0​, since the​ p-value is less than the significance level alpha.

​b)​ p-value=

​(Round to four decimal places as​ needed.)

Determine whether or not to reject the null hypothesis. Choose the correct answer below.

A. Reject Upper H 0 ​, since the​ p-value is less than the significance level alpha.

B.Do not reject Upper H 0 ​, since the​ p-value is greater than or equal to the significance level alpha.

C.Do not reject Upper H 0 ​, since the​ p-value is less than the significance level alpha.

D.Reject Upper H 0 ​, since the​ p-value is greater than or equal to the significance level alpha.

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Answer #1

The p values for the respective part of the question according to the Z scores and one or two tailed test hence,

a. At Z score 2.86 and at one tail test p value = 0.0021

Hence Conclusion

D. Reject the Ho , since p value is less than level of significance alpha.

b. Again at Z score = -0.74 , for one tailed test p value is 0.2297

Hence Conclusion:

B. Do not reject Ho since the p value is greater than significance level alpha.

c. Now at Z =-1.93 and for two tailed test the p value will be 0.0536

And alpha= 0.05 hence Conclusion:

B. Do not reject the Ho since P value is greater than the level of significance , alpha =0.05

d. Again At Z=1.13 and for two tailed test p value = 0.2585

Conclusion

B. Do not reject the Ho since the p value is greater than level of significance alpha =0.02

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