Answer to Question #203715 in Economics for alex

Question

 2.       The label on a 3-quart container of orange juice states that the orange juice contains an average of 1 gram of fat or less. Answer the following questions for a hypothesis test that could be used to test the claim on the label.

A.    Develop the appropriate null and alternative hypotheses.

B.     What is the Type I error in this situation? What are the consequences of making this error?

C.    What is the Type II error in this situation? What are the consequences of making this error?

Answer 1

A. Develop appropriate null and alternative hypotheses.

A null hypothesis is that orange juice contains no more than 1 gram of fat. An alternative would be the hypothesis that orange juice contains at least 1 gram of fat.

B. What is a Type I error in this situation? What are the consequences of this error? If you do research in which to show. that orange juice contains 1 gram of dir or more, then the null hypothesis can be rejected when it is actually true (the so-called type I error). this could lead to the alternative hypothesis being correct.

C. What is the Type II error in this situation? What are the consequences of this error? If, in a random way, it has been shown in sample studies that

 orange juice will contain no more than one gram of fat, and this result was obtained at random. then you can accept the null hypothesis when it is actually not true (the so-called type II error). If an incorrect hypothesis is accepted, the alternative hypothesis will not be considered, that is, the quality of the experimental results will deteriorate.