Question

You are doing a test to see if a pesticide causes cancer. The null hypothesis is...

You are doing a test to see if a pesticide causes cancer. The null hypothesis is that the pesticide does not cause cancer. The alternative hypothesis is that the pesticide does cause cancer. In the context of this problem, describe what a Type I error would be and what a Type II error would be.

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Answer #1

A type I error is the rejection of a true null hypothesis,

If we conclude that pesticide does cause cancer when in reality pesticide does not cause cancer, that would be a Type I error.

A type II error is the non-rejection of a false null hypothesis

If we conclude that pesticide does not cause cancer when in reality pesticide does cause cancer, that would be a Type II error.

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