Consider the following hypothesis test.

H₀: 45

H_a: < 45

A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use

= 0.01.

(a)

x = 44 and s = 5.1

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

____________

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

A)Do not reject H₀. There is insufficient evidence to conclude that < 45.

B)Reject H₀. There is sufficient evidence to conclude that < 45.

C)Reject H₀. There is insufficient evidence to conclude that < 45.

D)Do not reject H₀. There is sufficient evidence to conclude that < 45.

(b)

x = 43 and s = 4.7

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

___________

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

A)Do not reject H₀. There is insufficient evidence to conclude that < 45.

B)Reject H₀. There is sufficient evidence to conclude that < 45.

C)Reject H₀. There is insufficient evidence to conclude that < 45.

D)Do not reject H₀. There is sufficient evidence to conclude that < 45.

(c)

x = 46 and s = 6.0

Find the value of the test statistic.

_______

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

A)Do not reject H₀. There is insufficient evidence to conclude that < 45.

B)Reject H₀. There is sufficient evidence to conclude that < 45.

C)Reject H₀. There is insufficient evidence to conclude that < 45.

D)Do not reject H₀. There is sufficient evidence to conclude that < 45.