Consider the following hypothesis test.

H₀:20

H_a:< 20

A sample of 50 provided a sample mean of19.3. The population standard deviation is 2.

(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)

Using= 0.05,

state your conclusion.

• RejectH₀. There is sufficient evidence to conclude that< 20.
• RejectH₀. There is insufficient evidence to conclude that< 20.
• Do not rejectH₀. There is sufficient evidence to conclude that< 20.
• Do not rejectH₀. There is insufficient evidence to conclude that< 20.

(d)

State the critical values for the rejection rule. (Round your answer 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 that< 20.
• RejectH₀. There is insufficient evidence to conclude that< 20.
• Do not rejectH₀. There is sufficient evidence to conclude that< 20.
• Do not rejectH₀. There is insufficient evidence to conclude that< 20.