A sample of 32 observations is selected from a normal population. The sample mean is 13, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.02 significance level.

H₀: 12

H₁: > 12

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

A) one tailed test

B) two tailed test

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 Ho

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.)

Complete the sentence below:

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