Consider the following hypothesis test.

H₀: 12

H_a: > 12

A sample of 25 provided a sample mean

x = 14

and a sample standard deviation

s = 4.42.

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

(b)Use the t distribution table to compute a range for the p-value.

p-value > 0.200

0.100 < p-value < 0.200

0.050 < p-value < 0.100

0.025 < p-value < 0.050

0.010 < p-value < 0.025

p-value < 0.010

(c)At

= 0.05,

what is your conclusion?

Reject H₀. There is insufficient evidence to conclude that > 12.

Do not reject H₀. There is sufficient evidence to conclude that > 12.

Reject H₀. There is sufficient evidence to conclude that > 12.

Do not reject H₀. There is insufficient 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?

Reject H₀. There is insufficient evidence to conclude that > 12.

Do not reject H₀. There is sufficient evidence to conclude that > 12.

Reject H₀. There is sufficient evidence to conclude that > 12.

Do not reject H₀. There is insufficient evidence to conclude that > 12.