Question

A consumer protection agency is testing a sample of cans of tomato soup from a company. If they find evidence that the average level of the chemical bisphenol A (BPA) in tomato soup from this company is greater than 100 ppb (parts per billion), they will recall all the soup and sue the company.

(a) State the null and alternative hypotheses.

(b) Using the context of the problem, what would a Type I Error be in this situation?

(c) Using the context of the problem, what would a Type II Error be in this situation?

Answer 1

Answer:

a)

Let us indicate the normal degree of substance bisphenol An in tomato soup in ppb by mu

So now we have to test

Null hypothesis

Ho : mu = 100

Alternate hypothesis

H1 : mu > 100

b)

Type 1 error fundamentally implies dismissing the null hypothesis given that the facts demonstrate that is for this situation type 1 error is dismissing that the normal BPA in tomato soup is 100 i.e., is tolerating that it is more prominent than 100 given i.e., 100 or beneath 100.

So in short sort 1 blunder is suing the organization regardless of whether the BPA level is beneath 100.

c)

Type 2 error is tolerating the null hypothesis given that the alternative hypothesis is genuine that is given that the normal BPA is more prominent than 100 yet at the same time tolerating i.e., is beneath 100.

In short tolerating the tomato soup regardless of whether it isn't acceptable as a result of high BPA in it.