The Owner of a Local Karaoke Bar Has Recently Surveyed $\sigma$

Multiple Choice

The owner of a local Karaoke Bar has recently surveyed a random sample of n = 300 customers of the bar.She would now like to determine whether or not the mean age of her customers is over 35.If so,she plans to alter the entertainment to appeal to an older crowd.If not,no entertainment changes will be made.If she wants to be 99% confident in her decision,what rejection region she use if the population standard deviation $\sigma$ is known?

A) Reject H₀ if z < -2.33
B) Reject H₀ if z < -2.58
C) Reject H₀ if z > 2.33
D) Reject H₀ if z > 2.58