NOTE: ANSWERS MUST BE DIGITALIZED NOT HANDWRITTEN BECAUSE I AM HAVING A HARD TIME SEEING MESSY HANDWRITING

Direction: Choose the letter of the correct answer. Provide a brief explanation of why you choose the answer.

21.It takes at least 3mg of contaminants for a certain product to be discontinued. Mark wants to test the new products that came in today in his warehouse. He conducts a test at 5% level of significance whether the contaminants of the products are less than 3mg. What is the null hypothesis? A. The contaminants in the product are greater than or equal to 3mg. B. The contaminants in the product are equal to 3 mg. C. The contaminants of the product are less than 3 mg. D. The contaminants of the product are not equal to 3 mg. 22.What is the appropriate alternative hypothesis for the situation above? A. The contaminants in the product are greater than or equal to 3mg. B. The contaminants in the product are equal to 3mg. C. The contaminants in the product are less than 3mg. D. The contaminants in the product are not equal to 3mg. 23.Based on the alternative hypotheses, what test is applicable? A. Two tailed because we are testing if the contaminants are equal. B. Two talled because we are testing If the contaminants are not equal. C. One tailed because It is directional. D. None of the above. 24.What is the probability of Mark making a type 1 error? A. 10% B. 5% C. 95% D. 1%25.If Mark pulls out a product even though the test revealed only 2mg of contaminants were present, did he commit an error? A. No, because he did the right thing. B. No, because safety of the customer is priority. C. Yes, he committed a type 1 error. D. Yes, he committed a type 2 error. 26.If Mark confirms the null hypothesis is false, but fails to reject it, does he commit any error? A. No, I don't think so. B. Yes, a type 1 error. C. Yes, a type 2 error. D. Maybe, the information is not enough. 27.What decision would be the worst for Mark to make?A. Committing a Type 1 error. B. Committing a Type 2 error. C. Committing both errors. D. None of the above