Question

Two quality control experts want to test the null hypothesis that a new solar panel is no more effective than an older model. What is the consequence of a Type I error in this context?

A Group of answer choices concluding the new panels are no more effective when in fact they are not concluding the new panels are more effective when in fact they are.

B. concluding the new panels are no more effective when in fact they are.

C. concluding the new panels are more effective when in fact they are not.

D. it is not possible to make a Type I error in this case; whether the new panels are no more effective depends on scientific evidence.

What is the consequence of a Type II error in the context of the previous question?

Group of answer choices

a concluding the new panels are no more effective when in fact they are not.

b concluding the new panels are more effective when in fact they are.

c concluding the new panels are no more effective when in fact they are.

d concluding the new panels are more effective when in fact they are not.

e it is not possible to make a Type II error in this case; whether the new panels are no more effective depends on scientific evidence.

Answer 1

Solution:

Type 1 error is defined as follows:

The error committed by rejecting the null hypothesis when actually the null hypothesis is true is known as type 1 error.

Type 2 error is defined as follows:

The error committed by not rejecting the null hypothesis when actually the null hypothesis is false, is known as type 2 error.

For the given scenario the type 1 error will be as follows:

Concluding the new panels are more effective when in fact they are not.

For the given scenario the type 2 error will be as follows:

Concluding the new panels are no more effective when in fact they are.

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