What is the pvalue associated with your critical value A pva

What is the p-value associated with your critical value?

A.) p-value= 0.9370

B.) p-value=0.0630

E.) None of the above

What is your conclusion and possible error?

A.) Do not reject Ho and possible Type 1 error

B.) Reject Ho and possible Type 2 error

C.) Do not reject Ho and possible Type 2 error

D.) Reject Ho and possible Type 1 error

E.) None of the above

Solution

a)

The P value of the critical value is alpha itself.

Thus,

P = alpha = 0.05.

However, it is not in the choices,

OPTION E: NONE OF HE ABOVE. [ANSWER]

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Formulating the null and alternative hypotheses,              
              
Ho:   u   <=   4100  
Ha:    u   >   4100  
              
As we can see, this is a    right   tailed test.      
              
Thus, getting the critical z, as alpha =    0.05   ,      
alpha =    0.05          
zcrit =    +   1.644853627      
              
Getting the test statistic, as              
              
X = sample mean =    4360          
uo = hypothesized mean =    4100          
n = sample size =    50          
s = standard deviation =    1200          
              
Thus, z = (X - uo) * sqrt(n) / s =    1.532064693          
              
Also, the p value is              
              
p =    0.062753236          
              
As P > 0.05, we   FAIL TO REJECT THE NULL HYPOTHESIS.  

Thus,

OPTION C: Do not reject Ho and possible Type 2 error. [ANSWER]