Question

A microbiologist is testing a water sample for E-coli. Suppose the null hypothesis, $H_0$, is: the sample contains E-coli. Which is the error with the greater consequence?

Short answer

In this case, the error with the greater consequence is the $TypeII$error.

Step-by-step solution

Null hypothesis.

The null hypothesis is beneficial because it's going to be accustomed determine whether or not two measurable events have a relationship.

It can tell the user whether the outcomes are because of chance or are the consequence of controlling a phenomenon.

State the error with greater consequence.

"The sample contains E. coli," is the null hypothesis.

So, here's what a kind $I$error looks like:

A microbiologist incorrectly believes the sample has E. coli when it doesn't.

$TypeII$errors are as follows:

A microbiologist believes the sample doesn't contain E. coli when, in reality, it does.

The kind $II$error is the one that has the foremost serious consequences during this scenario.