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

Step-by-step 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.

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

i.e.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!