A machine in a factory is supposed to fill vials with approximately 50mL of a liquid. The quality control manager wants to test whether the machine is working properly. If the machine is found to be over  or under-filling then the assembly line will need to be shut down so that it can be recalibrated. A. State the Null and Alternative hypothesis to the scenario using the correct symbols B. What would it mean to mean to make a Type 1 erryin this situation? C. What would it mean to make a Type 2 error in this situation? D. Why might it be worse toale a Type 1 error in this scenario? E. Suppose that we fail to reject the null hypothesis. Write a conclusion statement in the context of the problem. Assume no errors were made.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.