Observed data vs. the expected data

  Scenario: The plant manager is preparing a presentation that includes the last three years of injuries which totaled 14. You have determined that in the past three years there 7 of the 14 were hand injuries. Previous projections had indicated that under normal conditions, only four hand injuries were expected and 12 other injuries were expected. The remaining injuries were due to other causes. Calculate the chi-square value and discuss whether there was a significant difference in observed data vs. the expected data. Also discuss how the process of hypothesis testing might prove helpful to the safety professional. As the newly assigned environmental health and safety (EHS) manager, you have been asked to conduct several calculations that will assist the plant manager in making some safety-related decisions. You are to conduct the calculations and provide the results in a three-page project report