The​ P-value for a hypothesis test is shown. Use the​ P-value to decide whether to reject Upper H 0    when the level of significance is​ (a) alpha equals0.01 ​, ​(b) alpha equals0.05 ​, and​ (c) alpha equals0.10 .

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The​ P-value for a hypothesis test is shown. Use the​ P-value to decide whether to reject

Upper H 0
  

when the level of significance is​ (a)

alpha

equals0.01

​,

​(b)

alpha

equals0.05

​,

and​ (c)

alpha

equals0.10

.
 
Pequals

0.0683

​(a) Do you reject or fail to reject
Upper H 0
 

at the

0.01
 
level of​ significance?
 
 
A.
Fail to reject
 
Upper H 0
 

because the​ P-value,

0.0683
​,

is

less
 

than

alpha

equals0.01

.
 
B.
Fail to reject
 
Upper H 0
 

because the​ P-value,

0.0683
​,

is

greater
 

than

alpha

equals0.01

.
 
C.
Reject
 
Upper H 0
 

because the​ P-value,

0.0683
​,

is

less
 

than

alpha

equals0.01

.
 
D.
Reject
  
Upper H 0
 

because the​ P-value,

0.0683
​,

is

greater
 

than

alpha

equals0.01

.
​(b) Do you reject or fail to reject
Upper H 0
 

at the

0.05
 
level of​ significance?
 
 
A.
Fail to reject
 
Upper H 0
 

because the​ P-value,

0.0683
​,

is

less
 

than

alpha

equals0.05

.
 
B.
Reject
 
Upper H 0
 

because the​ P-value,

0.0683
​,

is

greater
 

than

alpha

equals0.05

.
 
C.
Fail to reject
 
Upper H 0
 

because the​ P-value,

0.0683
​,

is

greater
 

than

alpha

equals0.05

.
 
D.
Reject
 
Upper H 0
 

because the​ P-value,

0.0683
​,

is

less
 

than

alpha

equals0.05

.
​(c) Do you reject or fail to reject
Upper H 0
 

at the

0.10
 
level of​ significance?
 
 
A.
Fail to reject
 
Upper H 0
 

because the​ P-value,

0.0683
​,

is

greater
 

than

alpha

equals0.10

.
 
B.
Reject
 
Upper H 0
 

because the​ P-value,

0.0683
​,

is

greater
 

than

alpha

equals0.10

.
 
C.
Fail to reject
 
Upper H 0
 

because the​ P-value,

0.0683
​,

is

less
 

than

alpha

equals0.10

.
 
D.
Reject
 
Upper H 0
 

because the​ P-value,

0.0683
​,

is

less
 

than

alpha

equals0.10.

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