Question

Determine whether to reject or fail to reject

Upper H 0H0

at the level of significance of​ a)

alphaαequals=0.030.03

and​ b)

alphaαequals=0.010.01.

Upper H 0H0​:

muμequals=128128​,

Upper H Subscript aHa​:

muμnot equals≠128128​,

and

Pequals=0.01630.0163.

​a) Do you reject or fail to reject

Upper H 0H0

at the

0.030.03

level of​ significance?

A.

Fail to rejectFail to reject  

Upper H 0H0

because

Pless than<0.030.03.

B.

RejectReject

Upper H 0H0

because

Pgreater than>0.030.03.

C.

RejectReject

Upper H 0H0

because

Pless than<0.030.03.

D.

Fail to rejectFail to reject

Upper H 0H0

because

Pgreater than>0.030.03.

​b) Do you reject or fail to reject

Upper H 0H0

at the

0.010.01

level of​ significance?

A.

Fail to rejectFail to reject

Upper H 0H0

because

Pless than<0.010.01.

B.

Fail to rejectFail to reject

Upper H 0H0

because

Pgreater than>0.010.01.

C.

RejectReject

Upper H 0H0

because

Pgreater than>0.010.01.

D.

RejectReject

Upper H 0H0

because

Pless than<0.010.01.

Answer 1

Given that, the null and alternative hypotheses are,

p-value = 0.0163

a) At α = 0.03

Reject H0 because P < 0.03.

b)At α = 0.01

Fail to reject H0 because P > 0.01.