Consider the following hypothesis test.

H₀:= 15H_a:15

A sample of 50 provided a sample mean of14.11. The population standard deviation is 3.

(a)

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

(b)

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

p-value =

(c)

At= 0.05,

state your conclusion.

• RejectH₀. There is sufficient evidence to conclude that15.
• RejectH₀. There is insufficient evidence to conclude that15.
• Do not rejectH₀. There is sufficient evidence to conclude that15.
• Do not rejectH₀. There is insufficient evidence to conclude that15.

(d)

State the critical values for the rejection rule. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)

test statistictest statistic

State your conclusion.

• RejectH₀. There is sufficient evidence to conclude that15.
• RejectH₀. There is insufficient evidence to conclude that15.
• Do not rejectH₀. There is sufficient evidence to conclude that15.
• Do not rejectH₀. There is insufficient evidence to conclude that15.