Question

Suppose, instead, that a consumer organization plans to conduct a test to see if there is evidence against the claim that the product contains an average of mg per tablespoon. The consumer organization will only take action if it finds evidence that the claim made by the company is false, and that the actual average amount of omega-3 is less than mg. What are the null and alternative hypotheses

Answer 1

`\mathbf{H_o: \mu \geq 3800}`

`\mathbf{H_A: \mu < 3800}`

Explanation:

From the given information:

Let assume that the missing average value for the product is 3800 mg

Then, we want to confirm that the evidence shows that the average amount of omega-3 less than 3800 mg.

Then the null hypothesis and the alternative hypothesis can be computed as follows:

Null hypothesis: This is our default hypothesis, i.e the average amount is of omega-3 is greater than or equal to 3800 mg.

i.e.

`\mathbf{H_o: \mu \geq 3800}`

Alternative hypothesis: This is the research hypothesis, i.e the average amount is of omega-3 is lesser than 3800 mg

i.e.

`\mathbf{H_A: \mu < 3800}`