You may need to use the appropriatetechnologyto answer this question.

Consider the following hypothesis test.

H₀:= 100

H_a:100

A sample of 65 is used. Identify thep-value and state your conclusion for each of the following sample results. Use= 0.05.

(a)

x=104ands=11.5

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 =

State your conclusion.

Do not rejectH₀. There is insufficient evidence to conclude that100.

RejectH₀. There is sufficient evidence to conclude that100.

Do not rejectH₀. There is sufficient evidence to conclude that100.

RejectH₀. There is insufficient evidence to conclude that100.

(b)

x=96.5ands= 11.0

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 =

State your conclusion.

Do not rejectH₀. There is insufficient evidence to conclude that100.

RejectH₀. There is sufficient evidence to conclude that100.

Do not rejectH₀. There is sufficient evidence to conclude that100.

RejectH₀. There is insufficient evidence to conclude that100.

(c)

x=102ands=10.5

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 =

State your conclusion.

Do not rejectH₀. There is insufficient evidence to conclude that100.

RejectH₀. There is sufficient evidence to conclude that100.

Do not rejectH₀. There is sufficient evidence to conclude that100.

RejectH₀. There is insufficient evidence to conclude that100.