A sample of 33 observations is selected from a normal population. The sample mean is 53, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.05 significance level.

H₀: = 57

H₁: 57

Is this a one- or two-tailed test?

One-tailed test

Two-tailed test

What is the decision rule?

Reject H₀ if 1.960 < z < 1.960

Reject H₀ if z < 1.960 or z > 1.960

What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

What is your decision regarding H₀?

Fail to reject H₀

Reject H₀

e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.)

e-2. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.)