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Please don't copy another solution. Make it original! Highway safety engineers test new road signs, hoping...

Please don't copy another solution. Make it original!

Highway safety engineers test new road signs, hoping that increased reflectivity will make them more visible to drivers. Volunteers drive through a test course with several of the new- and old-style signs and rate which kind is more visible.

a. State null and alternative hypotheses to test if the new road signs increase visibility.

b. ​​​​​​​In this context, what would a Type I error be?

c. ​​​​​​​​​​​​​​In this context, what would a Type II error be?

math   Statistics-And-Probability   
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Answer #1

A. Null hypothesis is always an equality claim.

And alternative hypothesis is always the one which we are testing.

Thus, Ho : visibility is same for new road signs

Ha : visibility increased due to new road signs.

B. Type 1 error is rejecting null hypothesis when it is actually true.

Thus, Type 1 error : volunteers said that visibility increased by mistake though it remained same.

C Type 2 Error is Not rejecting null hypothesis when it is actually false.

Thus, Type 2 Error: Volunteers reported same visibility by mistake even though there is increased visibility

Please like the answer,Thanks!

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