Consider the following hypothesis test.

H₀:35

H_a:<35

A sample of 36 is used. Identify thep-value and state your conclusion for each of the following sample results. Use= 0.01.

(a)

x=34ands=5.1

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

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

p-value =(Please show how this is found)

State your conclusion.

Do not rejectH₀. There is insufficient evidence to conclude that< 35.

RejectH₀. There is insufficient evidence to conclude that< 35.

RejectH₀. There is sufficient evidence to conclude that< 35.

Do not rejectH₀. There is sufficient evidence to conclude that< 35.

(b)

x=33ands=4.5

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

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

p-value =(Please show how is this found)

State your conclusion.

Do not rejectH₀. There is insufficient evidence to conclude that< 35.

RejectH₀. There is insufficient evidence to conclude that< 35.

RejectH₀. There is sufficient evidence to conclude that< 35.

Do not rejectH₀. There is sufficient evidence to conclude that< 35.

(c)

x=36ands=5.0

Find the value of the test statistic.

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

p-value =(Please show how is this found.)

State your conclusion.

Do not rejectH₀. There is insufficient evidence to conclude that< 35.

RejectH₀. There is insufficient evidence to conclude that< 35.

RejectH₀. There is sufficient evidence to conclude that< 35.

Do not rejectH₀. There is sufficient evidence to conclude that< 35.