A sample of 37 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.02 significance level.

H₀: 20

H₁: > 20

a.Is this a one- or two-tailed test?

A) one tailed

B) two tailed

b.What is the decision rule?

A)RejectH₀whenz> 2.054

B) RejectH₀whenz 2.054

c.What is the value of the test statistic?(Round your answer to 2 decimal places.)

d.What is your decision regardingH₀?

A) Fail to reject H0

B) Reject H0

e-1.What is thep-value?(Round your answer to 4 decimal places.)

e-2.Interpret thep-value?(Round your final answer to 2 decimal places.)

There is a ______ % chance of finding a z value this large by "sampling error" when H0 is true.