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We have to determine if theres a relationship between the units taken and how much coffee...

We have to determine if theres a relationship between the units taken and how much coffee consumed, but we are concerned about error. Whats an example of a Type I error in this and whats going to happen if i make a type I error? What would be a type II error and what would happen if i make a type II error? Is it possible to have both errors for the same question? if not why?

Math   Statistics-And-Probability   
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Answer #1

Null hypothesis: theres no relationship between the units taken and how much coffee consumed

Alternate hypothesis : theres a relationship between the units taken and how much coffee consumed

type I error : P[ reject the null hypothesis when it is true ]

type I error = We calimed that  theres a relationship between the units taken and how much coffee consumed but in reality there is not

type II error : P[ accept the null hypothesis when it is false ]

type II error = We calimed that  theres no relationship between the units taken and how much coffee consumed but in reality there is

Is it possible to have both errors for the same question?

No, since one occurs on accepting null hypotesis and other on rejecting, and two events can not occur together

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