Question

An engineer designing a new type of bridge wants to test the stress and load bearing capabilities of a prototype before beginning construction. Her null hypothesis is that the bridge’s stress and load capabilities are safe. Select which type of error would be worse. Make sure that the type of error is matched with the correct definition. Type I; the engineer does not deem the bridge safe even though it is Type I; the engineer deems the bridge safe and moves onto construction even though it is not actually safe Type II; the engineer does not deem the bridge safe even though it is Type II; the engineer deems the bridge safe and moves onto construction even though it is not actually safe

Answer 1

Answer:

Type II error.

Explanation:

H1: There is a significant difference between the bridge stress and the load capabilities.

H0: There is no significant difference between the bridge stress and the load capabilities.

There are two type of hypothesis:

Type 1 error occurs when a null hypothesis is true yet it was been rejected

Type 2 error occurs when a null hypothesis is false and you fail to reject it but accept it.

The worse type of error the engineer can make is to jeopardizes the safety of the commuter that will travel on the bridge since quality ,security and standard is a watchword.

The engineer commit Type II; the engineer deems the bridge safe and moves onto construction even though it is not actually safe.

Answer 2

Answer:

Type II errors ( false null hypothesis yet accepted by the test)

Explanation:

Errors in the hypothesis test are two and they are:

Type I errors: which occur if there is a true null hypothesis but test opposes it.

Type 2 errors: which occur if there is a false null hypothesis but the test acknowledges it as true.

When building a bridge, engineers will consider the weight and environment or types of load the bridge will encounter over a stretch of time.

In the construction of a bridge, security is a must to be guaranteed, risk of falling into a type II error can never be accepted.

So as seen in this scenario, Type II errors are the worst that can be falling into.