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ASK YOUR TEACHEF

The label on a $3-$quart container of orange juice states that the orange juice contains an average of no more than $1$ gram of fat. Answer the following questions for a hypothesis test tha could be used to test the claim on the label.

$($a$)$ Develop the appropriate null and alternative hypotheses.

$H_0$:$=1$

$H_a$:$>1$

$H_0$:$<mn\; id="EditorElement\_82943">1</mn>$

$H_a$:$1$

$H_0$:$<mn\; id="EditorElement\_82981">1</mn>$

$H_a$:$>1$

$H_0$:$>1$

$H_a$:$<mn\; id="EditorElement\_83038">1</mn>$

$H_0$:$=1$

$H_a$:$1$

$($b$)$ What is the type I error in this situation? What are the consequences of making this error?

It is claiming $1$ when it is not. This erper would miss the fact that the product is not meeting its label specification.

It is claiming $<mn\; id="EditorElement\_82632">1</mn>$ when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification.

It is claiming $=1$ when it is not. This error would miss the fact that the product is not meeting its label specification.

It is claiming $>1$ when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification.