For each of the following, using the p-value approach, perform the five steps of hypothesis testing.

The mean area of several thousand apartments is advertised to be 1250 square feet. A tenant group thinks that the apartments are smaller than advertised. They hire an engineer to measure a random sample of 150 apartments to test their suspicion and find that the mean square footage is 1170 square feet. If the population standard deviation is known to be 475 square feet, would a hypothesis test produce significant results at = 0.01?