State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain.   ​(a) t=2.248 ​(b) t=0 ​(c) t=−2.158 ​(d) t= -2.254     ​(a) For t=2.248​, should you reject or fail to reject the null​ hypothesis? A. Reject H0​, because t<−2.179. B. Fail to reject H0​, because t<−2.179. C. Fail to reject H0​, because t>−2.179. D. Reject H0​, because t>−2.179. ​(b) For t=0​, should you reject or fail to reject the null​ hypothesis? A. Reject H0​, because t>−2.179. B. Fail to reject H0​, because t>−2.179. C. Reject H0​, because t<−2.179. D. Fail to reject H0​, because t<−2.179. ​(c) For t=−2.158​, should you reject or fail to reject the null​ hypothesis? A. Reject H0​, because t<−2.179. B. Reject H0​, because t>−2.179. C. Fail to reject H0​, because t<−2.179. D. Fail to reject H0​, because t>−2.179. ​(d) For t=−2.254​, should you reject or fail to reject the null​ hypothesis? A. Reject H0​, because t>−2.179. B. Fail to reject H0​, because t<−2.179. C. Reject H0​, because t<−2.179. D. Fail to reject H0​, because t>−2.179.

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State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain.
 
​(a) t=2.248
​(b) t=0
​(c) t=−2.158
​(d) t= -2.254
 

 

​(a) For t=2.248​, should you reject or fail to reject the null​ hypothesis?

A.

Reject

H0​,

because

t<−2.179.

B.

Fail to reject

H0​,

because

t<−2.179.

C.

Fail to reject

H0​,

because

t>−2.179.

D.

Reject

H0​,

because

t>−2.179.

​(b) For t=0​, should you reject or fail to reject the null​ hypothesis?

A.

Reject

H0​,

because

t>−2.179.

B.

Fail to reject

H0​,

because

t>−2.179.

C.

Reject

H0​,

because

t<−2.179.

D.

Fail to reject

H0​,

because

t<−2.179.

​(c) For t=−2.158​, should you reject or fail to reject the null​ hypothesis?

A.

Reject

H0​,

because

t<−2.179.

B.

Reject

H0​,

because

t>−2.179.

C.

Fail to reject

H0​,

because

t<−2.179.

D.

Fail to reject

H0​,

because

t>−2.179.

(d) For t=−2.254​, should you reject or fail to reject the null​ hypothesis?

A.

Reject

H0​,

because

t>−2.179.

B.

Fail to reject

H0​,

because

t<−2.179.

C.

Reject

H0​,

because

t<−2.179.

D.

Fail to reject

H0​,

because

t>−2.179.

 

 

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