Question
Every time you conduct a hypothesis test, there are possible outcomes of your decision to reject or not reject the null hypothesis: (1) You dont reject the null hypothesis when It is true, (2) you reject the nul hypothesis when it is true, (3) you dont reject the null hypothesis when it is false, and (4) you reject the null hypothesis when it is false. Consider the follwing analogy: You are a meat inspector for the country health department. For every batch of meat you inspect, you must decide whether to certify that the meat is safe for human consumption. Suppose your null hypothesis is that the meat is unfit for human consumption. As in hypothesis besting, there are four possible outcomes of your decision: You do not certify the meat when the meat is unfit for human consumption, you certify the meat when the meat is unfit for human consumption, you do not certify the meat when the meat is safe, and you certify the meat when the meat is safe. Which of the following outcomes corresponds to a Type I error? You do rot certify the meat when the meat is unfit for human consumption. you do not certify the meat when the meat is unfit for human consumption. Which of the following outcomes corresponds to a Type II error? you do not certify the meat is safe. you do not certify the meat when the meat is unfit for human consumption. you certify the meat when the meat is safe. you do not certify the meat when the meat is unfit for human consumption.
Explanation / Answer
THE HYPOTHESIS IS THAT THE MEAN IS UNSAFE FOR CONSUMPTION
A) TYPE 1 ERROR OCCURS WHEN WE INCORRECT REJECTION OF TRUE NULL HYPOTHESIS TAKE PLACE
SO IN THIS CASE IT MEANS WE WILL CERTIFY THE MEAT WHEN IN ACTUAL THE MEAT IS UNSAFE, OPTION D IS CORRECT
B) TUPE 2 ERROR OCCURS WHEN WE FAIL TO REJECT THE FALSE HYPOTHESIS
IN THIS CASE IT MEANS THAT WE DO NOT CERTIFY WHEN IN ACTUAL THE MEAT IS SAFE, HENCE OPTION A IS CORRECT.
