Question

If you were a scientist who believes he has discovered an inexpensive new energy source that...

If you were a scientist who believes he has discovered an inexpensive new energy source that doesn’t pollute, and you designed an experiment to assess whether or not this energy source actually worked, would you rather protect yourself from making a Type I or Type II error? Why？

Math   Statistics-And-Probability   
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Answer #1

H0:Null Hypothesis: New energy source pollutes

HA: Alternative Hypothesis: New energy source does not pollute (Claim)

Type I error: Rejection of a true null hypothesis.

Suppose in reality, new energy source pollute. But, we wrongly conclude that new energy source does not pollute. Type I error is committed in this situation. This is not not desirable because the energy source will be polluting which has got very undesirable consequences of the general public.

Type II error: Failure to reject of a false null hypothesis.

Suppose in reality, new energy source does not pollute. But, we wrongly conclude that new energy source pollutes. Type II error is committed in this situation. This is comparatively not terrible because we are not just using an energy source that does not pollute.

Thus, conclusion is:

We would rather protect ourselves from making a Type I error.

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