You are a data analyst with John and Sons Company. The company has a large number of manufacturing plants in the United States and overseas. The company plans to open a new manufacturing plant. It has to decide whether to open this plant in the United States or overseas.

What is an appropriate null hypothesis to compare the quality of the product manufactured in the overseas plants and the U.S. plants? Why? How would you choose an appropriate level of significance for your statistical test? What are the possible outcomes and limitations of your statistical test?