Highway safety engineers test new road signs, hop - ing 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 shows up the best. If the hypothesis is tested at the 1% level of significance instead of 5%, how will this affect the power of the test?

Question

Mathematics

Logan Stuart

24 February, 21:17

Highway safety engineers test new road signs, hop - ing 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 shows up the best. If the hypothesis is tested at the 1% level of significance instead of 5%, how will this affect the power of the test?

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Elisa Wilson · Answer 1

decreases

Step-by-step explanation:

H_0 : New road signs are equally visible

H_α: New road signs are more visible Power

Probability to reject the null hypothesis H_0, when H_0 is false.

If the level of significance is smaller, then we are less likely to reject the null hypothesis and thus the power decreases.