Consider the following hypothesis test.

H₀:12

H_a:> 12

A sample of 25 provided a sample meanx= 14

and a sample standard deviations=4.69.

(a) Compute the value of the test statistic. (Round your answer to three decimal places.)

(b) Use thetdistribution tableto compute a range for thep-value.

a)p-value > 0.200

b)0.100 <p-value < 0.200

c)0.050 <p-value < 0.100

d)0.025 <p-value < 0.050

e)0.010 <p-value < 0.025

f)p-value < 0.010

(c)At= 0.05,

what is your conclusion?

a) Do not rejectH₀. There is sufficient evidence to conclude that>12.

b) RejectH₀. There is insufficient evidence to conclude that>12.

c) Do not rejectH₀. There is insufficient evidence to conclude that>12.

d) RejectH₀. There is sufficient evidence to conclude that>12.

D) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.)

test statistic ?

test statistic ?

What is your conclusion?

a) Do not rejectH₀. There is sufficient evidence to conclude that>12.

b) RejectH₀. There is insufficient evidence to conclude that>12.

c) Do not rejectH₀. There is insufficient evidence to conclude that>12.

d) RejectH₀. There is sufficient evidence to conclude that>12.