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In assessing the weather prior to leaving our residences on a spring morning, we make an...

In assessing the weather prior to leaving our residences on a spring morning, we make an informal test of hypothesis "The weather will be fair today." Using the "best" information available to us, we complete the test and dress accordingly

What is the null hypothesis and what are the type 1 and type 2 errors

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Answer #1

Null hypothesis, H0: The weather will be fair today.

Type I error: Suppose using the best information available to us, we test it and if p value comes less than the significance level then we reject the null hypotheses and conclude that the weather will not be fair today. But actually weather remain fair that day. So we have rejected true null hypotheses. This is type I error.

Type II error: Suppose using the best information available to us, we test it and if p value comes greater than the significance level then we failed to reject null hypothesis and conclude that weather will be fair today. But eventually weather gets worse and weather is not fair that day. So at morning we made an error that is accepting a false null hypotheses. It is type II error.

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Answer #2

In assessing the weather prior to leaving our residences on a spring morning, we make an informal test of the null hypothesis "The weather will be fair today."  Using the "best" information available to us, we complete the test and dress accordingly.  What would be the consequences of a Type I and Type II error?

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